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Numerical Solution of Fractional Fredholm-Volterra Integro-Differential Equations by Means of Generalized Hat Functions Method
Department of Mathematics and Information Science, Tangshan Normal University, Tangshan, Hebei, China.
Computer Modeling in Engineering & Sciences 2014, 99(2), 105-122. https://doi.org/10.3970/cmes.2014.099.105
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In this paper, operational matrix method based on the generalized hat functions is introduced for the approximate solutions of linear and nonlinear fractional integro-differential equations. The fractional order generalized hat functions operational matrix of integration is also introduced. The linear and nonlinear fractional integro-differential equations are transformed into a system of algebraic equations. In addition, the method is presented with error analysis. Numerical examples are included to demonstrate the validity and applicability of the approach.Keywords
Fractional integro-differential equations, generalized hat functions, operational matrix, error analysis, numerical solution
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APA Style
Li, B. (2014). Numerical Solution of Fractional Fredholm-Volterra Integro-Differential Equations by Means of Generalized Hat Functions Method. Computer Modeling in Engineering & Sciences, 99(2), 105–122. https://doi.org/10.3970/cmes.2014.099.105
Vancouver Style
Li B. Numerical Solution of Fractional Fredholm-Volterra Integro-Differential Equations by Means of Generalized Hat Functions Method. Comput Model Eng Sci. 2014;99(2):105–122. https://doi.org/10.3970/cmes.2014.099.105
IEEE Style
B. Li, “Numerical Solution of Fractional Fredholm-Volterra Integro-Differential Equations by Means of Generalized Hat Functions Method,” Comput. Model. Eng. Sci., vol. 99, no. 2, pp. 105–122, 2014. https://doi.org/10.3970/cmes.2014.099.105
Copyright © 2014 The Author(s). Published by Tech Science Press.This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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