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Implicit Finite Difference Scheme for Singularly Perturbed Burger-Huxley Equations

Journal of Partial Differential Equations 2022年第1期35卷 87-100页

作者： KABETO Masho Jima duressa gemechis file Department of Mathematics College of Natural SciencesJimma UniversityJimmaEthiopia

In this paper,an implicit finite difference scheme is presented to solve one dimensional unsteady singularly perturbed Burger-Huxley *** quadratically convergent quasilinearization technique is used to linearize the nonlinear term of the *** innovative significance of this paper is the procedure to consider initial guesses in order to start the quasilinearization *** basic initial guessing causes to produce a more accurate solutions with the small iteration number for the problem under *** derivatives are replaced by finite difference approximation,then we obtain the two-level time direction and the three-term recurrence relation in the spatial *** convergence analysis of the proposed method has been *** experiments were conducted to support the theoretical ***,the result shows that the proposed method gives a more accurate solution with a higher rate of convergence than some existing methods.

关键词： Singularly perturbed Burger-Huxley equation higher-order accurate solution

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Computational method for singularly perturbed delay differential equations of the reaction-diffusion type with negative shift

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Journal of Ocean Engineering and Science 2021年第3期6卷 285-291页

作者： Gashu Gadisa Kiltu gemechis file duressa Tesfaye Aga Bullo Department of Mathematics Madda Walabu UniversityP.O.Box 247Bale RobeEthiopia Department of Mathematics Jimma UniversityP.O.Box 378JimmaEthiopia

A numerical method for solving singularly perturbed delay differential equations with a layer or oscillatory behavior for which a small shift is introduced in the reaction term is *** stability and convergence of the method have been *** demonstrate the efficiency of the method,two model examples have been *** results obtained by the present scheme described that the finding of the present method is accurate than the findings of the previous studies.

关键词： Singularly perturbed Delay differential equations Convergence El Niño model

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