SOLVING A VOLTERRA INTEGRAL EQUATION WITH WEAKLY SINGULAR KERNEL IN THE REPRODUCING KERNEL SPACE

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GENGA FAZHAN; SHENB FENG

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Journal: MATHEMATICAL SCIENCES Year:2010 | Volume:4 | Issue:2 Page(s): 159-170

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Information Journal Paper

Title

SOLVING A VOLTERRA INTEGRAL EQUATION WITH WEAKLY SINGULAR KERNEL IN THE REPRODUCING KERNEL SPACE

Author(s)

GENGA FAZHAN | SHENB FENG | Issue Writer Certificate

Keywords

EXACT SOLUTION

INTEGRAL EQUATION

WEAKLY SINGULAR KERNEL

REPRODUCING KERNEL

Abstract

In this paper, we will present a new method for a Volterra INTEGRAL EQUATION with WEAKLY SINGULAR KERNEL in the REPRODUCING KERNEL space. Firstly the equation is transformed into a new equivalent equation. Its EXACT SOLUTION is represented in the form of series in the REPRODUCING KERNEL space. In the mean time, the n-term approximation un(t) to the EXACT SOLUTION u (t) is obtained. Some numerical examples are studied to demonstrate the accuracy of the present method. Results obtained by the method are compared with the EXACT SOLUTION of each example and are found to be in good agreement with each other.

Cites

ITERATIVE REPRODUCING KERNEL METHOD FOR A BEAM EQUATION WITH THIRD-ORDER NONLINEAR BOUNDARY CONDITIONS

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APA: Copy

GENGA, FAZHAN, & SHENB, FENG. (2010). SOLVING A VOLTERRA INTEGRAL EQUATION WITH WEAKLY SINGULAR KERNEL IN THE REPRODUCING KERNEL SPACE. MATHEMATICAL SCIENCES, 4(2), 159-170. SID. https://sid.ir/paper/322508/en

Vancouver: Copy

GENGA FAZHAN, SHENB FENG. SOLVING A VOLTERRA INTEGRAL EQUATION WITH WEAKLY SINGULAR KERNEL IN THE REPRODUCING KERNEL SPACE. MATHEMATICAL SCIENCES[Internet]. 2010;4(2):159-170. Available from: https://sid.ir/paper/322508/en

IEEE: Copy

FAZHAN GENGA, and FENG SHENB, “SOLVING A VOLTERRA INTEGRAL EQUATION WITH WEAKLY SINGULAR KERNEL IN THE REPRODUCING KERNEL SPACE,” MATHEMATICAL SCIENCES, vol. 4, no. 2, pp. 159–170, 2010, [Online]. Available: https://sid.ir/paper/322508/en

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