非线性非局部边界条件下扩散方程的一种修正后向欧拉格式

IF 0.6 Q4 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Eurasian Journal of Mathematical and Computer Applications Pub Date : 2021-09-25 DOI:10.32523/2306-6172-2021-9-3-26-38

Dehilis Sofiane, Bouziani Abdelfatah, Bensaid Souad

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引用次数: 0

摘要

本文提出了求解非线性非局部边界条件下扩散方程的修正后向欧拉格式。该方案是通过结合空间中的四阶紧致有限差分公式和时间导数项的后向差分来导出的。边界条件中的非线性项用泰勒展开法线性化。通过算例验证了该方法的准确性和有效性。

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A MODIFIED BACKWARD EULER SCHEME FOR THE DIFFUSION EQUATION SUBJECT TO NONLINEAR NONLOCAL BOUNDARY CONDITIONS

In this article, Modified Backward Euler Scheme is developed to solve the diffusion equation subject to nonlinear nonlocal boundary conditions. The proposed scheme is derived by combining a fourth-order compact finite difference formula in space and a backward differ- entiation for the time derivative term. Nonlinear terms in boundary conditions are linearized by Taylor expansion. Numerical examples are provided to verify the accuracy and efficiency of our proposed method.

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来源期刊

Eurasian Journal of Mathematical and Computer Applications MATHEMATICS, INTERDISCIPLINARY APPLICATIONS-

CiteScore

1.40

自引率

0.00%

发文量

期刊介绍： Eurasian Journal of Mathematical and Computer Applications (EJMCA) publishes carefully selected original research papers in all areas of Applied mathematics first of all from Europe and Asia. However papers by mathematicians from other continents are also welcome. From time to time Eurasian Journal of Mathematical and Computer Applications (EJMCA) will also publish survey papers. Eurasian Mathematical Journal publishes 4 issues in a year. A working language of the journal is English. Main topics are: - Mathematical methods and modeling in mechanics, mining, biology, geophysics, electrodynamics, acoustics, industry. - Inverse problems of mathematical physics: theory and computational approaches. - Medical and industry tomography. - Computer applications: distributed information systems, decision-making systems, embedded systems, information security, graphics.