A quadrature method for numerical solutions of fractional differential equations
Autor: | Umer Saeed, Mujeeb ur Rehman, Amna Idrees |
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Rok vydání: | 2017 |
Předmět: |
Differential equation
Applied Mathematics Mathematical analysis MathematicsofComputing_NUMERICALANALYSIS 010103 numerical & computational mathematics Exponential integrator 01 natural sciences 010305 fluids & plasmas Computational Mathematics Collocation method ComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATION 0103 physical sciences 0101 mathematics Differential algebraic geometry Universal differential equation Differential algebraic equation Numerical stability Mathematics Numerical partial differential equations |
Zdroj: | Applied Mathematics and Computation. 307:38-49 |
ISSN: | 0096-3003 |
DOI: | 10.1016/j.amc.2017.02.053 |
Popis: | In this article, a numerical method is developed to obtain approximate solutions for a certain class of fractional differential equations. The method reduces the underlying differential equation to system of algebraic equations. An algorithm is presented to compute the coefficient matrix for the resulting algebraic system. Several examples with numerical simulations are provided to illustrate effectiveness of the method. |
Databáze: | OpenAIRE |
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