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A Computational Analysis to burgers huxley equation

Computers, Materials & Continua 2021年第5期67卷 2161-2183页

作者： Muhammad Saqib Muhammad Shoaib Arif Shahid Hasnain Daoud S.Mashat Department of Mathematics Numl UniversityIslamabad44000Pakistan Department of Mathematics Air UniversityIslamabad44000Pakistan Department of Mathematics Air UniversityMultan CampusMultan66000Pakistan Department of Mathematics King Abdulaziz UniversityJeddahSaudi Arabia

The efficiency of solving computationally partial differential equations can be profoundly highlighted by the creation of precise,higher-order compact numerical scheme that results in truly outstanding accuracy at a given *** objective of this article is to develop a highly accurate novel algorithm for two dimensional non-linear burgers huxley(BH)*** proposed compact numerical scheme is found to be free of superiors approximate oscillations across discontinuities,and in a smooth ow region,it efciently obtained a high-order *** particular,two classes of higherorder compact nite difference schemes are taken into account and compared based on their computational *** stability and accuracy show that the schemes are unconditionally stable and accurate up to a two-order in time and to six-order in ***,algorithms and data tables illustrate the scheme efciency and decisiveness for solving such non-linear coupled *** is scaled in terms of L_(2) and L_(∞) norms,which validate the approximated results with the corresponding analytical *** investigation of the stability requirements of the implicit method applied in the algorithm was carried *** agreement was constructed under indistinguishable computational *** proposed methods can be implemented for real-world problems,originating in engineering and science.

关键词： burgers huxley equation nite difference schemes HOC schemes Thomas algorithm Von-Neumann stability ana

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