| |
Galerkin method applied to telegraph integro-differential equation with a weighted integral condition
- 作者:A Guezane-Lakoud (1)
N Bendjazia (1) R Khaldi (2)
- 关键词:integro ; differential equation ; integral conditions ; approximate solution ; Galerkin method
- 刊名:Boundary Value Problems
- 出版年:2013
- 出版时间:December 2013
- 年:2013
- 卷:2013
- 期:1
- 全文大小:181KB
- 参考文献:1. Beilin SA: Existence of solutions for one dimensional wave equations with nonlocal conditions. / Electron. J. Differ. Equ. 2001, 76:1鈥?.
2. Cannon JR: The solution of the heat equation subject to the specification of energy. / Q. Appl. Math. 1963, 21:155鈥?60. 3. Dehghan M: On the solution of an initial-boundary value problem that combines Neumann and integral condition for the wave equation. / Numer. Methods Partial Differ. Equ. 2005, 21:24鈥?0. CrossRef 4. Dehghan M: A finite difference method for a non-local boundary value problem for two dimensional heat equation. / Appl. Math. Comput. 2000, 112:133鈥?42. 99)00055-7">CrossRef 5. Ionkin NI: Solutions of boundary value problem in heat conduction theory with nonlocal boundary conditions. / Differ. Uravn. (Minsk) 1977, 13:294鈥?04. 6. Dubey RS: Existence of the unique solution to abstract second order semilinear integrodifferential equations. / Nonlinear Dyn. Syst. Theory 2010,10(4):375鈥?86. 7. Crandall MG, Souganidis P: Convergence of difference approximations of quasilinear evolution equations. / Nonlinear Anal. 1986, 10:425鈥?45. CrossRef 8. Cannon JR, Lin Y, Wang S: An implicit finite difference scheme for the diffusion equation subject to mass specification. / Int. J. Eng. Sci. 1990, 28:573鈥?78. CrossRef 9. Dehghan M: Second order schemes for a boundary value problem with Neumann boundary conditions. / Appl. Math. Comput. 2002, 138:173鈥?84. 10. Bahuguna D: Quasilinear integrodifferential equations in Banach spaces. / Nonlinear Anal. 1995, 24:175鈥?83. CrossRef 11. Kumar K, Kumar R, Shukla RK: Nonlocal parabolic integro-differential equations with delay. / Int. J. Appl. Math. Res. 2012,1(4):549鈥?64. 12. Guezane-Lakoud A, Chaoui A: Rothe method applied to semilinear hyperbolic integro-differential equation with integral conditions. / Int. J. Open Probl. Comput. Sci. Math. 2011, 4:1鈥?4. CrossRef 13. Dabas J, Bahuguna D: An integro-differential equation with an integral boundary condition. / Math. Comput. Model. 2009, 50:123鈥?31. CrossRef 14. Guezane-Lakoud A, Dabas J, Bahuguna D: Existence and uniqueness of generalized solutions to a telegraph equation with an integral boundary condition via Galerkin method. / Int. J. Math. Math. Sc 2011., 2011: Article ID 451492 15. Guezane-Lakoud A, Bendjazia N: Galerkin method for solving a telegraph equation with a weighted integral condition. / Int. J. Open Probl. Complex Anal. 2012, 5:41鈥?3.
- 作者单位:A Guezane-Lakoud (1)
N Bendjazia (1) R Khaldi (2)
1. Faculty of Sciences, Laboratory of Advanced Materials, Badji Mokhtar-Annaba University, P.O. Box 12, Annaba, 23000, Algeria 2. Faculty of Sciences, Laboratory LASEA, Badji Mokhtar-Annaba University, P.O. Box 12, Annaba, 23000, Algeria
- ISSN:1687-2770
文摘
In this work, we study a telegraph integro-differential equation with a weighted integral condition. By means of the Galerkin method, we establish the existence and uniqueness of a generalized solution. MSC: 35L05, 35L20, 35L99.
| |
NGLC 2004-2010.National Geological Library of China All Rights Reserved.
Add:29 Xueyuan Rd,Haidian District,Beijing,PRC. Mail Add: 8324 mailbox 100083
For exchange or info please contact us via email.
| |