Shifted Jacobi collocation method for Volterra-Fredholm integral equation

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Mohamed Amany Saad

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Journal Paper

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Journal: Computational Methods for Differential Equations Year:2022 | Volume:10 | Issue:2 Page(s): 408-418

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Information Journal Paper

Title

Shifted Jacobi collocation method for Volterra-Fredholm integral equation

Author(s)

Mohamed Amany Saad | Issue Writer Certificate

Keywords

Shifted Jacobi polynomials

Collocation method

Volterra-Fredholm integral equation

Convergence and error analysis

Abstract

In this paper, we compute the approximate numerical solution for the Volterra-Fredholm integral equation (VFIE) by using the shifted Jacobi collocation (SJC) method which depends on the operational matrices. Some properties of the Shifted Jacobi polynomials are introduced. These properties allow us to transform the VolterraFredholm integral equation into a system of algebraic equations in a nice form with the expansion coefficients of the solution. Also, the Convergence and error analysis are studied extensively. Finally, some examples which verify the efficiency of the given method are supplied and compared with other methods.

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APA: Copy

Mohamed, Amany Saad. (2022). Shifted Jacobi collocation method for Volterra-Fredholm integral equation. COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS, 10(2), 408-418. SID. https://sid.ir/paper/1057103/en

Vancouver: Copy

Mohamed Amany Saad. Shifted Jacobi collocation method for Volterra-Fredholm integral equation. COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS[Internet]. 2022;10(2):408-418. Available from: https://sid.ir/paper/1057103/en

IEEE: Copy

Amany Saad Mohamed, “Shifted Jacobi collocation method for Volterra-Fredholm integral equation,” COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS, vol. 10, no. 2, pp. 408–418, 2022, [Online]. Available: https://sid.ir/paper/1057103/en

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