Shifted Jacobi–Gauss-collocation with convergence analysis for fractional integro-differential equations

Autor:	António M. Lopes, Mohamed A. Abdelkawy, Eid H. Doha, Ahmed Z. M. Amin
Rok vydání:	2019
Předmět:	Numerical Analysis Collocation Differential equation Applied Mathematics Gauss Nonlocal boundary 01 natural sciences 010305 fluids & plasmas Algebraic equation Error analysis Modeling and Simulation 0103 physical sciences Convergence (routing) Applied mathematics 010306 general physics Mathematics
Zdroj:	Communications in Nonlinear Science and Numerical Simulation. 72:342-359
ISSN:	1007-5704
DOI:	10.1016/j.cnsns.2019.01.005
Popis:	A new shifted Jacobi–Gauss-collocation (SJ-G-C) algorithm is presented for solving numerically several classes of fractional integro-differential equations (FI-DEs), namely Volterra, Fredholm and systems of Volterra FI-DEs, subject to initial and nonlocal boundary conditions. The new SJ-G-C method is also extended for calculating the solution of mixed Volterra–Fredholm FI-DEs. The shifted Jacobi–Gauss points are adopted for collocation nodes and the FI-DEs are reduced to systems of algebraic equations. Error analysis is performed and several numerical examples are given for illustrating the advantages of the new algorithm.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::e81c7361db1760353055aaa4dce60703 https://doi.org/10.1016/j.cnsns.2019.01.005 Zobrazit plný text záznamu Full Text from ScienceDirect