Research Highlights

Mesh-free Galerkin approximation for parabolic nonlocal problem using web-splines

Authors :- Sudhakar Chaudhary, Jitesh P. Mandaliya

Publication :- Computers and Mathematics with applications. Vol 128, 2022, Pages 180-187

In this paper we propose a mesh-free method for parabolic nonlocal problem. The proposed method comprises web-splines, Euler scheme and Newton's method. We give existence and uniqueness results for the weak formulation at continuous level and prove a priori error bounds for the fully-discrete solution. Finally, we show some numerical results based on web-spline method to confirm our theoretical findings.