High Order Block Method for Third Order ODEs

作     者：A.I.Asnor S.A.M.Yatim Z.B.Ibrahim N.Zainuddin 

作者机构：School of Distance EducationUniversiti Sains MalaysiaUSM Penang11800Malaysia Department of MathematicsFaculty of ScienceUniversiti Putra MalaysiaSerdangSelangor Darul Ehsan43400Malaysia Department of Fundamental and Applied SciencesUniversiti Teknologi PETRONASSeri IskandarPerak Darul Ridzuan32610Malaysia 

出 版 物：《Computers, Materials & Continua》 (计算机、材料和连续体（英文）)

年 卷 期：2021年第67卷第4期

页      面：1253-1267页

核心收录：

学科分类：0831[工学-生物医学工程（可授工学、理学、医学学位）] 0808[工学-电气工程] 0809[工学-电子科学与技术（可授工学、理学学位）] 07[理学] 0805[工学-材料科学与工程（可授工学、理学学位）] 0701[理学-数学] 0801[工学-力学（可授工学、理学学位）] 0812[工学-计算机科学与技术（可授工学、理学学位）] 070101[理学-基础数学] 

基　　金：funded by Fundamental Research Grant Scheme Universiti Sains Malaysia Grant No.203/PJJAUH/6711688 received by S.A.M.Yatim.Url at http://www.research.usm.my/default.asp?tag=3&f=1&k=1 

主　　题：Block method stiff ODEs third order variable step variable order 

摘      要：Many initial value problems are difficult to be solved using ordinary,explicit step-by-step methods because most of these problems are considered *** implicit methods,however,are capable of solving stiff ordinary differential equations(ODEs)usually found in most applied *** study aims to develop a new numerical method,namely the high order variable step variable order block backward differentiation formula(VSVOHOBBDF)for the main purpose of approximating the solutions of third order *** computational work of the VSVO-HOBBDF method was carried out using the strategy of varying the step size and order in a single *** order of the proposed method was then discussed in *** advancement of this strategy is intended to enhance the efficiency of the proposed method to approximate solutions *** order to confirm the efficiency of the VSVO-HOBBDF method over the two ODE solvers in MATLAB,particularly ode15s and ode23s,a numerical experiment was conducted on a set of stiff *** numerical results prove that for this particular set of problem,the use of the proposed method is more efficient than the comparable ***-HOBBDF method is thus recommended as a reliable alternative solver for the third order ODEs.