Numerical treatment for a multiscale nonlinear system of singularly perturbed differential equations of convection-diffusion type
عنوان مقاله: Numerical treatment for a multiscale nonlinear system of singularly perturbed differential equations of convection-diffusion type
شناسه ملی مقاله: JR_JMMO-12-2_011
منتشر شده در در سال 1403
شناسه ملی مقاله: JR_JMMO-12-2_011
منتشر شده در در سال 1403
مشخصات نویسندگان مقاله:
Manikandan Mariappan - Department of Mathematics, School of Engineering, Presidency University, Bengaluru - ۵۶۰ ۰۶۴, Karnataka, India
خلاصه مقاله:
Manikandan Mariappan - Department of Mathematics, School of Engineering, Presidency University, Bengaluru - ۵۶۰ ۰۶۴, Karnataka, India
In this article, a multiscale nonlinear system of singularly perturbed differential equations of convection-diffusion type is considered. A numerical technique combined with the continuation method is constructed to obtain the numerical computations. The newly developed numerical method is shown to be first order convergent uniformly with respect to the perturbation parameter.
کلمات کلیدی: Multiscale nonlinear system of singularly perturbed differential equations, boundary layers, finite difference scheme, Shishkin mesh, the continuation method, parameter-uniform convergence
صفحه اختصاصی مقاله و دریافت فایل کامل: https://civilica.com/doc/2021957/