On the application of the homotopy analysis method for a nonlocal mixed problem with Bessel operator
作者： Said Mesloub , Saleem Obaidat
DOI: 10.1016/J.AMC.2012.09.018
关键词:
摘要: Abstract In this research work, we give analytic approximate solutions for a nonlocal initial boundary value problem where one of the classical conditions is replaced by an integral condition employing homotopy analysis method (HAM). The series solution can be obtained either using (partial t -solution) or x -solution). This allows us to control convergence region solution.
sci-hub.se 参考文章(27)
Shi-Jun Liao, A Simple Approach of Enlarging Convergence Regions of Perturbation Approximations Nonlinear Dynamics. ,vol. 19, pp. 93- 111 ,(1999) , 10.1023/A:1008373627897
Mixed problem with integral conditions for a certain class of hyperbolic equations Journal of Applied Mathematics. ,vol. 1, pp. 107- 116 ,(2001) , 10.1155/S1110757X01000365
J. Biazar, M. Tango, E. Babolian, R. Islam, Solution of the kinetic modeling of lactic acid fermentation using Adomian decomposition method Applied Mathematics and Computation. ,vol. 144, pp. 433- 439 ,(2003) , 10.1016/S0096-3003(02)00418-6
Said Mesloub, A nonlinear nonlocal mixed problem for a second order pseudoparabolic equation Journal of Mathematical Analysis and Applications. ,vol. 316, pp. 189- 209 ,(2006) , 10.1016/J.JMAA.2005.04.072
Gunnar Ekolin, Finite difference methods for a nonlocal boundary value problem for the heat equation Bit Numerical Mathematics. ,vol. 31, pp. 245- 261 ,(1991) , 10.1007/BF01931285
G. Fairweather, J. C. López-Marcos, Galerkin methods for a semilinear parabolic problem with nonlocal boundary conditions Advances in Computational Mathematics. ,vol. 6, pp. 243- 262 ,(1996) , 10.1007/BF02127706
Said Mesloub, Abdelfatah Bouziani, On a class of singular hyperbolic equation with a weighted integral condition International Journal of Mathematics and Mathematical Sciences. ,vol. 22, pp. 511- 519 ,(1999) , 10.1155/S0161171299225112
Said Mesloub, On a singular two dimensional nonlinear evolution equation with nonlocal conditions Nonlinear Analysis: Theory, Methods & Applications. ,vol. 68, pp. 2594- 2607 ,(2008) , 10.1016/J.NA.2007.02.006
J. Kačur, R. van Keer, On the Numerical Solution of Semilinear Parabolic Problems in Multicomponent Structures with Volterra Operators in the Transmission Conditions and in the Boundary Conditions ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik. ,vol. 75, pp. 91- 103 ,(1995) , 10.1002/ZAMM.19950750202
Yunkang Liu, Numerical solution of the heat equation with nonlocal boundary conditions Journal of Computational and Applied Mathematics. ,vol. 110, pp. 115- 127 ,(1999) , 10.1016/S0377-0427(99)00200-9