Localized method of particular solutions using polynomial basis functions for solving two-dimensional nonlinear partial differential equations

• DOI: 10.1016/j.padiff.2021.100114
• Publication Date: 2021-09-06T16:24:14Z
• Authors: T. Dangal; B. Khatri Ghimire; A.R. Lamichhane
• Keywords: Basis function; Basis (linear algebra); Polynomial basis

The localized method is one of the popular approaches in solving large-scale problems science and engineering. In this paper, we implement particular solutions using polynomial basis functions for various nonlinear problems. To validate our proposed numerical method, present four examples regular irregular domains which are solved by solution with functions. We compared multiquadric radial function results clearly show that highly accurate, efficient, outperformed function.