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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.4
- 발행연도
- 2018.12
- 수록면
- 289 - 294 (6page)
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초록· 키워드
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In this work, a recently developed semi-analytic technique, so called the residual power series method, is generalized to process higher-dimensional linear and nonlinear partial differential equations. The solutions obtained takes a form of an infinite power series which can. in turn, be expressed in a closed exact form. The results reveal that the proposed generalization is very effective, convenient and simple. This is achieved by handling the (m+1)-dimensional Burgers equation.
목차
ABSTRACT
1. INTRODUCTION
2. THE GRPSM
3. CONVERGENCE ANALYSIS
4. NUMERICAL ILLUSTRATION
5. CONCLUSIONS
REFERENCES
참고문헌 (14)
참고문헌 신청
[단행본] - O. Abu Arqub / 2013 / A reliable analytical method for solving higher-oder initial value problems / Discrete Dynamics in Nature and Society
[학술지(정기간행물)] - H. Tariq / 2017 / Residual power series method for solving time-space-fractional Benney-Lin equation arising in falling film problems / J. Appl. Math. Comput 55 (1-2) : 683 ~ 708
[학술지(정기간행물)] - A. Kumar / 2016 / Residual power series method for fractional Burger types equations / Nonlinear Engineering 5 (4)
[학술지(정기간행물)] - A. El-Ajoua / 2015 / A general form of the generalized Taylors formula with some applications / Applied Mathematics and Computation 256 (1) : 851 ~ 859
[학술지(정기간행물)] - E. A. Az-Zo’bi / 2019 / Exact analytic solutions for nonlinear diffusion equations via generalized residual power series method / International Journal of Mathematics and Computer Science 14 (1) : 69 ~ 78
[학술지(정기간행물)] - H. Tariq / 2017 / Residual power series method for solving time-space-fractional Benney-Lin equation arising in falling film problems / J. Appl. Math. Comput 55 (1-2) : 683 ~ 708
[학술지(정기간행물)] - A. Kumar / 2016 / Residual power series method for fractional Burger types equations / Nonlinear Engineering 5 (4)
[학술지(정기간행물)] - A. El-Ajoua / 2015 / A general form of the generalized Taylors formula with some applications / Applied Mathematics and Computation 256 (1) : 851 ~ 859
[학술지(정기간행물)] - E. A. Az-Zo’bi / 2019 / Exact analytic solutions for nonlinear diffusion equations via generalized residual power series method / International Journal of Mathematics and Computer Science 14 (1) : 69 ~ 78
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UCI(KEPA) : I410-ECN-0101-2019-410-000147521