International Journal of Computer Mathematics · 2013 · 20 citations · 26 references
Natural SciencesMathematicsComputational PhysicsDifferential EquationsFinite Element MethodsIntegral EquationsMatrix ComputationNumerical AlgorithmsNumerical AnalysisNumerical IntegrationNumerical Methods For Differential EquationsDifferential Equation SolversFractional Differential EquationsFredholm Integral EquationsFredholm OperatorsFredholm TheoryMatrix Equation SolversNumerical Methods For Integral Equations
In this article, we present a new method which is based on the Taylor Matrix Method to give approximate solution of the linear fractional Fredholm integro-differential equations. This method is based on first taking the truncated Taylor expansions of the functions in the linear fractional differential part and Fredholm integral part then, substituting their matrix forms into the equation. We solve this matrix equation with the assistance of Maple 13. In addition, illustrative examples are presented to demonstrate the effectiveness of the proposed method.
26