A Jacobi Spectral Collocation Scheme Based on Operational Matrix for Time-fractional Modified Korteweg-de Vries Equations
作者机构：Department of MathematicsFaculty of ScienceKing Abdulaziz UniversityJeddahSaudi Arabia Department of MathematicsFaculty of ScienceBeni-Suef UniversityBeni-SuefEgypt Department of MathematicsFaculty of ScienceCairo UniversityGizaEgypt Department of MathematicsFaculty of ScienceAssiut UniversityNew Valley BranchEl-Kharja 72511Egypt
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：2015年第104卷第3期
页 面：185-209页
核心收录：
学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学]
主 题：KdV equation Jacobi polynomials Operational matrix Gauss quadrature Collocation spectral method Caputo derivative
摘 要：In this paper,a high accurate numerical approach is investigated for solving the time-fractional linear and nonlinear Korteweg-de Vries(KdV)*** equations are the most appropriate and desirable definition for physical *** spectral collocation method and the operational matrix of fractional derivatives are used together with the help of the Gauss-quadrature formula in order to reduce such problem into a problem consists of solving a system of algebraic equations which greatly simplifying the *** approach is based on the shifted Jacobi polynomials and the fractional derivative is described in the sense of *** addition,the presented approach is applied also to solve the timefractional modified KdV *** testing the accuracy,validity and applicability of the developed numerical approach,we apply it to provide high accurate approximate solutions for four test problems.
维普期刊数据库