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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 저널정보
- 한국산업응용수학회 JOURNAL OF THE KOREAN SOCIETY FOR INDUSTRIAL AND APPLIED MATHEMATICS Journal of the Korean Society for Industrial and Applied Mathematics Vol.22 No.2
- 발행연도
- 2018.6
- 수록면
- 125 - 136 (12page)
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초록· 키워드
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In this article, a homotopy perturbation transform method (HPTM) and the Laplace transform combined with Taylor expansion method are presented for solving Volterra integral equations with a convolution kernel. The (HPTM) is innovative in Laplace transform algorithm and makes the calculation much simpler while in the Laplace transform and Taylor expansion method we first convert the integral equation to an algebraic equation using Laplace transform then we find its numerical inversion by power series. The numerical solution obtained by the proposed methods indicate that the approaches are easy computationally and its implementation very attractive. The methods are described and numerical examples are given to illustrate its accuracy and stability.
목차
ABSTRACT
1. INTRODUCTION
2. PRELIMINARIES
3. SOLUTION OF VOLTERRA INTEGRAL EQUATION BY USING LAPLACE TRANSFORM ANDTAYLOR SERIES
4. SOLUTION OF VOLTERRA INTEGRAL EQUATION BY USING HOMOTOPY PERTURPATIONTRANSFORM METHOD
5. NUMERICAL EXAMPLES
6. CONCLUSION
REFERENCES
참고문헌 (22)
참고문헌 신청
[학술지(정기간행물)] - J. Abdalkhani / 1993 / A modied approach to the numerical solution of linear weakly singular Volterra integral equa- tions of the second kind / The Journal of Integral Equations and Applications 2 : 149 ~ 166
[학술지(정기간행물)] - E. Babolian / 2008 / Numerical solution of Volterra integral and integro-differential equations of convolution type by using operational matrices of piecewise constant orthogonal functions / Journal of Computational and Applied Mathematics 214 : 495 ~ 508
[학술지(정기간행물)] - S. Dixit / 2012 / A stable numerical inversion of generalized Abel's integral equation / Appl. Numer. Math. 62 : 567 ~ 579
[학술지(정기간행물)] - AHMED A. HAMOUD / 2017 / THE COMBINED MODIFIED LAPLACE WITH ADOMIAN DECOMPOSITION METHOD FOR SOLVING THE NONLINEAR VOLTERRA-FREDHOLM INTEGRO DIFFERENTIAL EQUATIONS / Journal of the Korean Society for Industrial and Applied Mathematics 21 (1) : 17 ~ 28
[학술지(정기간행물)] - Ahmed A. Hamoud / 2017 / The reliable modified of Laplace adomian decomposition method to solve nonlinear interval Volterra-Fredholm integral equations / 한국수학논문집 25 (3) : 323 ~ 334
[학술지(정기간행물)] - E. Babolian / 2008 / Numerical solution of Volterra integral and integro-differential equations of convolution type by using operational matrices of piecewise constant orthogonal functions / Journal of Computational and Applied Mathematics 214 : 495 ~ 508
[학술지(정기간행물)] - S. Dixit / 2012 / A stable numerical inversion of generalized Abel's integral equation / Appl. Numer. Math. 62 : 567 ~ 579
[학술지(정기간행물)] - AHMED A. HAMOUD / 2017 / THE COMBINED MODIFIED LAPLACE WITH ADOMIAN DECOMPOSITION METHOD FOR SOLVING THE NONLINEAR VOLTERRA-FREDHOLM INTEGRO DIFFERENTIAL EQUATIONS / Journal of the Korean Society for Industrial and Applied Mathematics 21 (1) : 17 ~ 28
[학술지(정기간행물)] - Ahmed A. Hamoud / 2017 / The reliable modified of Laplace adomian decomposition method to solve nonlinear interval Volterra-Fredholm integral equations / 한국수학논문집 25 (3) : 323 ~ 334
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