Numerical algorithm for solving time‐fractional partial integrodifferential equations subject to initial and Dirichlet boundary conditions

Recently, many new applications in engineering and science are governed by a series of time‐fractional partial integrodifferential equations, which will lead to new challenges for numerical simulation. In this article, we propose and analyze an efficient iterative algorithm for the numerical solutio...

Celý popis

Uložené v:
Podrobná bibliografia
Vydané v:Numerical methods for partial differential equations Ročník 34; číslo 5; s. 1577 - 1597
Hlavní autori: Abu Arqub, Omar, Al‐Smadi, Mohammed
Médium: Journal Article
Jazyk:English
Vydavateľské údaje: New York Wiley Subscription Services, Inc 01.09.2018
Predmet:
Algorithms
Boundary conditions
Computer simulation
Dirichlet problem
Error analysis
fractional calculus theory
Infinite series
Iterative algorithms
Iterative methods
Nonlinear equations
Numerical analysis
partial integrodifferential equation
reproducing kernel algorithm
Simulated annealing
ISSN:0749-159X, 1098-2426
On-line prístup:Získať plný text
Tagy: Pridať tag
Žiadne tagy, Buďte prvý, kto otaguje tento záznam!
Popis
Shrnutí:Recently, many new applications in engineering and science are governed by a series of time‐fractional partial integrodifferential equations, which will lead to new challenges for numerical simulation. In this article, we propose and analyze an efficient iterative algorithm for the numerical solutions of such equations subject to initial and Dirichlet boundary conditions. The algorithm provide appropriate representation of the solutions in infinite series formula with accurately computable structures. By interrupting the n ‐term of exact solutions, numerical solutions of linear and nonlinear time‐fractional equations of nonhomogeneous function type are studied from mathematical viewpoint. Convergence analysis, error estimations, and error bounds under some hypotheses which provide the theoretical basis of the proposed algorithm are also discussed. The dynamical properties of these numerical solutions are discussed and the profiles of several representative numerical solutions are illustrated. Finally, the utilized results show that the present algorithm and simulated annealing provide a good scheduling methodology to such integrodifferential equations.
Bibliografia:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:0749-159X
1098-2426
DOI:10.1002/num.22209