RBF Based Localized Method for Solving Nonlinear Partial Integro-Differential Equations

作     者：Marjan Uddin Najeeb Ullah Syed Inayat Ali Shah 

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.