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Variational Iteration Method for Solving Time Fractional Burgers Equation Using Maple

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Applied Mathematics 2023年第5期14卷 336-348页

作者： Fayza Alwehebi Aatef Hobiny dalal Maturi Department of Mathematics King Abdulaziz University Jeddah Saudi Arabia

The Time Fractional Burger equation was solved in this study using the Mabel software and the Variational Iteration approach. where a number of instances of the Time Fractional Burger Equation were handled using this technique. Tables and images were used to present the collected numerical results. The difference between the exact and numerical solutions demonstrates the effectiveness of the Mabel program’s solution, as well as the accuracy and closeness of the results this method produced. It also demonstrates the Mabel program’s ability to quickly and effectively produce the numerical solution.

关键词： Variational Iteration Method Time Fractional Burgers Equation Maple18

The Adomian Decomposition Method for Solving Nonlinear Partial Differential Equation Using Maple

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Advances in Pure Mathematics 2021年第6期11卷 595-603页

作者： dalal Adnan Maturi Honaida Mohammed Malaikah Department of Mathematics Faculty of Science King Abdulaziz University Jeddah Saudi Arabia

The nonlinear partial differential equation is solved using the Adomian decomposition method (ADM) in this article. A number of examples have been provided to illustrate the numerical results, which is the comparison of the exact and numerical solutions, and it has been discovered through the tables that the amount of error between the exact and numerical solutions is very small and almost non-existent, and the graph also shows how the exact solution of absolutely applies to the numerical solution. This demonstrates the precision of the Adomian decomposition method (ADM) for solving the nonlinear partial differential equation with Maple18. And that in terms of obtaining numerical results, this approach is characterized by ease, speed, and high accuracy.

关键词： Nonlinear Partial Differential Equation Adomian Decomposition Method Maple18

Adomian Decomposition Method for Solving Time Fractional Burgers Equation Using Maple

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Applied Mathematics 2023年第5期14卷 324-335页

作者： Fayza Alwehebi Aatef Hobiny dalal Maturi Department of Mathematics King Abdulaziz University Jeddah Saudi Arabia

In this paper, the Adomian decomposition method was used to solve the Time Fractional Burger equation using Mabel program. This method was applied to a number of examples of the Time Fractional Burger Equation. The obtained numerical results were presented in the form of tables and graphics. The difference between the exact solutions and the numerical solutions shows us the effectiveness of the solution using the Mabel program and that this method gave accurate results and was close to the exact solution, in addition to its ability to obtain the numerical solution quickly and efficiently using the Mabel program.

关键词： Adomian Decomposition Method Time Fractional Burgers Equation Maple 18

Adomian Decomposition Method for Solving Boussinesq Equations Using Maple

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Applied Mathematics 2023年第2期14卷 121-129页

作者： Ameera Aljuhani dalal Maturi Hashim Alshehri Department of Mathematics King Abdulaziz University Jeddah Saudi Arabia

This paper uses the Adomian Decomposition Method (ADM) to solve Boussinesq equations using Maple. The Boussinesq approximation for water waves is a weakly nonlinear and long-wave approximation in fluid dynamics. The approximation is named after Joseph Boussinesq, who developed it in response to John Scott Russell’s observation of a wave of translation (also known as solitary wave or soliton). Bossinesq’s article from 1872 introduced the equations that are now known as the Boussinesq equations. Numerical methods are commonly utilized to solve nonlinear equation systems. In this paper, we investigate a nonlinear singly perturbed advection-diffusion problem. Using the usual Adomian Decomposition Method, we formulate an approximate linear advection-diffusion problem and investigate several practical numerical approaches for solving it (ADM). The Adomian Decomposition Method (ADM) is a powerful tool for numerical simulations and approximation analytic solutions. The Adomian Decomposition Method (ADM) is used to solve nonlinear advection differential equations using Maple by illustrating numerous examples. The findings are presented in the form of tables and graphs for several examples. For various examples, the findings are presented in the form of tables and graphs. The difference between the precise and numerical solutions indicates the Maple program solution’s efficacy, as well as the ease and speed with which it was acquired.

关键词： Adomian Decomposition Method Boussinesq Equations Maple 18

COVID-19 status quo:Emphasis on gastrointestinal and liver manifestations

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World Journal of Gastroenterology 2021年第46期27卷 7969-7981页

作者： Abhishek Bhurwal Carlos D Minacapelli Evan Orosz Kapil Gupta Christopher Tait Ishita dalal Clark Zhang Eric Zhao Vinod K Rustgi Department of Medicine Division of Gastroenterology and HepatologyRutgers Robert Wood Johnson Medical SchoolNew BrunswickNJ 08901United States Center for Liver Diseases and Masses Rutgers Robert Wood Johnson School of MedicineNew BrunswickNJ 08901United States Department of Internal Medicine Rutgers Robert Wood Johnson Medical SchoolNew BrunswickNJ 08901United States

The coronavirus disease 2019(COVID-19)has caused one of the worst public health crises in modern *** though severe acute respiratory syndrome coronavirus 2 primarily affects the respiratory tract,gastrointestinal manifestations are well described in *** review will discuss the epidemiology,virology,manifestations,immunosuppressant states,and lessons learned from ***:At the time of writing,COVID-19 had infected more than 111 million people and caused over 2.5 million deaths *** medical comorbidities including obesity,pre-existing liver condition and the use of proton pump inhibitor have been described as risk factor for severe ***-19 most frequently causes diarrhea(12.4%),nausea/vomiting(9%)and elevation in liver enzymes(15%-20%).The current data does not suggest that patients on immunomodulators have a significantly increased risk of mortality from *** current guidelines from American Gastroenterological Association and American Association for the Study of Liver Diseases do not recommend pre-emptive changes in patients on immunosuppression if the patients have not been infected with *** and relevance:The COVID-19 pandemic has prompted a change in structure and shape of gastroenterology departmental *** should be performed only when necessary and with strict protective *** consultations in the form of telehealth services and home drug deliveries have revolutionized the field.

关键词： COVID-19 Status quo Epidemiology Virology Gastrointestinal manifestations Liver manifestations Immunosuppressed states

Variational Iteration Method for Solving Boussinesq Equations Using Maple

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Applied Mathematics 2022年第12期13卷 960-967页

作者： Ameera Aljuhani dalal Maturi Hashim Alshehri Department of Mathematics King Abdul Aziz University Jeddah KSA

In this study, we applied the variational iteration method to solve the Boussinesq time equation. Bossiness’s article from 1872 introduced the equations that are now known as the Boussinesq equations. Numerical methods are commonly utilized to solve nonlinear equation systems. Several research papers have documented the values of the variational iteration method and its applications for various categories of differential equations. A comparison of the exact and numerical solutions was obtained using the variational iteration method. The variational iteration method shows that the proposed method is very effective and convenient. The results are shown for different specific cases of the problem. The variational iteration method is useful in numerical simulations and approximate analytical solutions, and it is used to resolve nonlinear differential equations in various situations using Maple. For example, the linear Boussinesq equation was resolved using the variational iteration method. By comparing the numerical results, we found that the variable repetition method produced accurate results and was close to the exact solution, allowing it to be widely applied to the Boussinesq equation. This proves the effectiveness of the method and the capability to quickly and effectively obtain the numerical number solution related to the exact solution using the Maple 18 program. Additionally, the outcomes are extremely precise.

关键词： Boussinesq Equations Maple 18 Variational Iteration Method

A cesium fluoride promoted efficient and rapid multicomponent synthesis of functionalized 2-amino-3-cyano-4H-pyran and spirooxindole derivatives

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Chinese Chemical Letters 2015年第10期26卷 1273-1277页

作者： Yogesh B.Wagh Yogesh A.Tayade Swapnil A.Padvi Bhupesh S.Patil Nilesh B.Patil Dipak S.dalal School of Chemical Sciences North Maharashtra University

A rapid, one-pot and highly efficient protocol for the synthesis of pharmaceutically interesting functionalized 2-amino-3-cyano-4H-pyran and spirooxindole derivatives has been developed using commercially available Cs F as a catalyst in the reaction of malononitrile and aryl aldehydes or isatins with 1,3-cyclohexanediones. The major advantages of this methodology are excellent yield at ambient temperature, very short reaction time（5–10 min）, and use of an inexpensive catalyst.

关键词： Cesium fluoride 2-Amino-3-cyano-4H-pyrans Spirooxindoles Rapid synthesis Multicomponent reactions

Double dartos flap layer in tubularized incised plate urethroplasty to prevent urethrocutaneous fistula in uncircumcised patients with distal hypospadias

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Asian Journal of Andrology 2023年第1期25卷 93-97页

作者： Raed Al-Taher Mohammad Nofal Ali J Yousef Mohammad Rashdan Amjad Tarawneh Jad Alsmadi Eman Hasan dalal Alshareefi Danah Alenezi Bashayer Abdulrasoul Department of General Surgery Division of Pediatric SurgerySchool of MedicineThe University of JordanAmman 11942Jordan Department of General Surgery and Anesthesia School of MedicineMutah UniversityKarak 61710Jordan Department of Pediatrics School of MedicineMutah UniversityKarak 61710Jordan Department of General and Special Surgery Division of UrologyFaculty of MedicineThe Hashemite UniversityZarqa 13133Jordan

Urethrocutaneous fistula may complicate hypospadias *** noticed that double-layered preputial dartos flaps added to tubularized incised plate urethroplasty can reduce the risk of urethrocutaneous *** aim of this study was to compare the outcomes of tubularized incised plate urethroplasty with double-layered preputial dartos flaps to with single-layered local fascial flaps in preventing urethrocutaneous fistula.A retrospective cohort study was conducted between January 2017 and December 2020 at Jordan University Hospital(Amman,Jordan).Boys who were aged between 6 months and 5 years,diagnosed with distal hypospadias,and not circumcised were *** primary outcome was the occurrence of urethrocutaneous fistula in patients who underwent tubularized incised plate urethroplasty with a double-layered fascial *** results showed a total of 163 boys with distal hypospadias;among them,116 patients underwent tubularized incised plate urethroplasty with a single-layered fascial flap,and 47 underwent tubularized incised plate urethroplasty with a double-layered fascial *** development of urethrocutaneous fistula was higher in the group receiving tubularized incised plate urethroplasty with a single-layered fascial flap than in the group receiving tubularized incised plate urethroplasty with a double-layered fascial flap after 1 month,6 months,and 12 months(6.9%vs 0,10.3%vs 0,and 5.2%vs 0,respectively),and the difference after 6 months was statistically significant(P=0.02).

关键词： distal hypospadias double-layered preputial dartos flap tubularized incised plate urethroplasty urethrocutaneous fistula

Hypospadias: an algorithm for repair with the aid of the microscope in 102 patients

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Plastic and Aesthetic Research 2017年第4期4卷 64-69页

作者： Mohamed Maher Maria Chasapi Milind dalal University Hospitals Birmingham NHS Foundation Trust Queen Elizabeth HospitalB152TH BirminghamUK Lancachire Teaching Hospitals NHS Foundation Trust Royal Preston HospitalPR29HT PrestonUK.

Aim: To demonstrate an algorithmic approach to hypospadias repair with the aid of the surgical microscope as a teaching aid, as well as an ergonomic tool. Methods: One hundred and two patients were operated on between 2009 and 2013, all by the senior surgeon (M dalal). This is a retrospective review of results in the case series. The procedures used were one stage repair with no incision of the urethral plate, or the two stage Bracka repair. Results:Fifty-six patients underwent the one stage procedure and 46 patients underwent the two stage Bracka repair. Early complication rate was 4.9% (n = 5) and late complication rate was 10.7%(n = 11). The fistula rate specific to one stage and two stage procedures was 5.3% (n = 3) and 13% (n = 6) respectively. Conclusion: A structured approach to hypospadias surgery will aid the surgeon in choosing the appropriate procedure for the appropriate patient. The authors have chosen to use 2 types of repair for all hypospadias subsets based on the algorithm. They find the microscope an invaluable teaching aid, whilst at the same time providing an ergonomic benefit, and providing a wide range of surgical site magnification.

关键词： Hypospadias one stage/two stage hypospadias repairs urethrocutaneous fistula hypospadias algorithm microscope