A SUCCESSIVE NUMERICAL SCHEME FOR SOME CLASSES OF VOLTERRA-FREDHOLM INTEGRAL EQUATIONS

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HASHEMI BORZABADI AKBAR; HEIDARI MOHAMMAD

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Journal: Iranian Journal of Mathematical Sciences and Informatics Year:2015 | Volume:10 | Issue:2 Page(s): 1-10

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Title

A SUCCESSIVE NUMERICAL SCHEME FOR SOME CLASSES OF VOLTERRA-FREDHOLM INTEGRAL EQUATIONS

Author(s)

HASHEMI BORZABADI AKBAR | HEIDARI MOHAMMAD | Issue Writer Certificate

Keywords

VOLTERRA-FREDHOLM INTEGRAL EQUATION

DISCRETIZATION

APPROXIMATION

Abstract

In this paper, a reliable iterative approach, for solving a wide range of linear and nonlinear VOLTERRA-FREDHOLM INTEGRAL EQUATIONs is established. First the approach considers a discretized form of the integral terms where considering some conditions on the kernel of the integral equation it is proved that solution of the discretized form converges to the exact solution of the problem. Then the solution of the discretized form is approximated by an iterative scheme. Comparison of the approximate solution with exact solution shows that the used approach is easy and practical for some classes of linear and nonlinear VOLTERRA-FREDHOLM INTEGRAL EQUATIONs.

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APA: Copy

HASHEMI BORZABADI, AKBAR, & HEIDARI, MOHAMMAD. (2015). A SUCCESSIVE NUMERICAL SCHEME FOR SOME CLASSES OF VOLTERRA-FREDHOLM INTEGRAL EQUATIONS. IRANIAN JOURNAL OF MATHEMATICAL SCIENCES AND INFORMATICS (IJMSI), 10(2), 1-10. SID. https://sid.ir/paper/310399/en

Vancouver: Copy

HASHEMI BORZABADI AKBAR, HEIDARI MOHAMMAD. A SUCCESSIVE NUMERICAL SCHEME FOR SOME CLASSES OF VOLTERRA-FREDHOLM INTEGRAL EQUATIONS. IRANIAN JOURNAL OF MATHEMATICAL SCIENCES AND INFORMATICS (IJMSI)[Internet]. 2015;10(2):1-10. Available from: https://sid.ir/paper/310399/en

IEEE: Copy

AKBAR HASHEMI BORZABADI, and MOHAMMAD HEIDARI, “A SUCCESSIVE NUMERICAL SCHEME FOR SOME CLASSES OF VOLTERRA-FREDHOLM INTEGRAL EQUATIONS,” IRANIAN JOURNAL OF MATHEMATICAL SCIENCES AND INFORMATICS (IJMSI), vol. 10, no. 2, pp. 1–10, 2015, [Online]. Available: https://sid.ir/paper/310399/en

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