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Research Paper | Mathematics | Volume 7 Issue 10, October 2018 | Pages: 1270 - 1275 | India
Numerical Method for Weakly Coupled Nonlinear Parabolic System
Abstract: The aim of the paper is to study a system of finite difference equations corresponding to the weakly coupled nonlinear parabolic system with nonlinear boundary conditions in a bounded domain. Method of upper lower solutions and monotone iteration process are studied. We develop new iteration scheme. Discrete initial boundary value problems are studied by applying the method of upper lower solutions, existence comparison and uniqueness of solutions
Keywords: Diffusion convection system, Initial boundary value Problem, Upper lower solution, Iteration scheme, Existence and uniqueness results
How to Cite?: Neha K. Malviya, R. M. Dhaigude, "Numerical Method for Weakly Coupled Nonlinear Parabolic System", Volume 7 Issue 10, October 2018, International Journal of Science and Research (IJSR), Pages: 1270-1275, https://www.ijsr.net/getabstract.php?paperid=ART20192217, DOI: https://dx.doi.org/10.21275/ART20192217