RBF Based Localized Method for Solving Nonlinear Partial Integro-Differential Equations
作者机构:University of Engineering and TechnologyPeshawarPakistan Islamia College UniversityPeshawarPakistan
出 版 物:《Computer Modeling in Engineering & Sciences》 (工程与科学中的计算机建模(英文))
年 卷 期:2020年第123卷第6期
页 面:957-972页
核心收录:
学科分类:07[理学] 0835[工学-软件工程] 0811[工学-控制科学与工程] 0701[理学-数学] 0812[工学-计算机科学与技术(可授工学、理学学位)] 070101[理学-基础数学]
基 金:The authors received no specific funding for this study
主 题:RBFs integral equations local method
摘 要:In this work,a numerical scheme is constructed for solving nonlinear parabolictype partial-integro differential *** proposed numerical scheme is based on radial basis functions which are local in nature like finite difference numerical *** radial basis functions are used to approximate the derivatives involved and the integral is approximated by equal width integration *** resultant differentiation matrices are sparse in *** spatial approximation using RBF the partial integro-differential equations reduce to the system of *** ODEs system can be solved by various types of ODE *** proposed numerical scheme is tested and compared with other methods available in literature for different test *** stability and convergence of the present numerical scheme are discussed.