A Local Meshless Method for a Multi-term Time Fractional Non-linear Diffusion Equation

Abstract

AbstractIn the current work, a radial basis function based local meshless method is taken into consideration to solve the multi-term time fractional nonlinear diffusion equation. We mentioned the proof of unconditional stability and also theoretically discussed the convergence of the proposed numerical scheme. Some numerical problems are given to show the exactness and efficiency of the developed scheme. The present result indicates that the proposed numerical scheme is very accurate and efficient for modeling and simulating the considered problems.KeywordsDiffusion equationRBFMeshless methodFinite difference method