A COMPUTATIONAL METHOD FOR SOLVING WEAKLY SINGULAR FREDHOLM INTEGRAL EQUATION IN REPRODUCING KERNEL SPACES

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HAMEDZADEH D.; BABOLIAN E.

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Journal: IRANIAN JOURNAL OF NUMERICAL ANALYSIS AND OPTIMIZATION Year:2018 | Volume:8 | Issue:1 (SERIAL NUMBER 13) Page(s): 1-17

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Title

A COMPUTATIONAL METHOD FOR SOLVING WEAKLY SINGULAR FREDHOLM INTEGRAL EQUATION IN REPRODUCING KERNEL SPACES

Author(s)

HAMEDZADEH D. | BABOLIAN E. | Issue Writer Certificate

Keywords

WEAKLY SINGULAR KERNELQ1

FREDHOLM INTEGRAL EQUATIONSQ1

TAYLOR SERIESQ1

REPRODUCING KERNEL SPACEQ1

Abstract

In the present paper, we propose a method to solve a class of weakly singular FREDHOLM INTEGRAL EQUATIONS of the second kind in REPRODUCING KERNEL SPACEs. The TAYLOR SERIES of the unknown function is used to remove the singularity and bases of REPRODUCING KERNEL SPACEs are used to solve this equation. Efficiency of the proposed method is investigated through various examples.

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APA: Copy

HAMEDZADEH, D., & BABOLIAN, E.. (2018). A COMPUTATIONAL METHOD FOR SOLVING WEAKLY SINGULAR FREDHOLM INTEGRAL EQUATION IN REPRODUCING KERNEL SPACES. IRANIAN JOURNAL OF NUMERICAL ANALYSIS AND OPTIMIZATION, 8(1 (SERIAL NUMBER 13) ), 1-17. SID. https://sid.ir/paper/260843/en

Vancouver: Copy

HAMEDZADEH D., BABOLIAN E.. A COMPUTATIONAL METHOD FOR SOLVING WEAKLY SINGULAR FREDHOLM INTEGRAL EQUATION IN REPRODUCING KERNEL SPACES. IRANIAN JOURNAL OF NUMERICAL ANALYSIS AND OPTIMIZATION[Internet]. 2018;8(1 (SERIAL NUMBER 13) ):1-17. Available from: https://sid.ir/paper/260843/en

IEEE: Copy

D. HAMEDZADEH, and E. BABOLIAN, “A COMPUTATIONAL METHOD FOR SOLVING WEAKLY SINGULAR FREDHOLM INTEGRAL EQUATION IN REPRODUCING KERNEL SPACES,” IRANIAN JOURNAL OF NUMERICAL ANALYSIS AND OPTIMIZATION, vol. 8, no. 1 (SERIAL NUMBER 13) , pp. 1–17, 2018, [Online]. Available: https://sid.ir/paper/260843/en

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