Solving evolution equations using a new iterative method

Numerical Methods for Partial Differential Equations

Volumn 26, Issue 4, 2010, Pages 906-916

  Bhalekar, Sachin ^a   Daftardar Gejji, Varsha ^a  

^a UNIVERSITY OF PUNE   (India)

Author keywords

Adomian decomposition method; New iterative method; Nonlinear evolution equation

Indexed keywords

ADOMIAN DECOMPOSITION METHOD; EVOLUTION EQUATIONS; EXISTING METHOD; NONLINEAR EVOLUTION EQUATION;

DIFFERENTIAL EQUATIONS; ITERATIVE METHODS; OPERATIONS RESEARCH;

NONLINEAR EQUATIONS;

EID: 77952915943     PISSN: 0749159X     EISSN: 10982426     Source Type: Journal    
DOI: 10.1002/num.20463     Document Type: Article

References (10)

1. V. Daftardar-Gejji and H. Jafari, An iterative method for solving non linear functional equations, J Math Anal Appl 316 (2006), 753-763.
2. V. Daftardar-Gejji and S. Bhalekar, Solving fractional boundary value problems with Dirichlet boundary conditions, Comput Math Appl (2009), accepted.
3. S. Bhalekar and V. Daftardar-Gejji, New iterative method: application to partial differential equations, Appl Math Comput 203 (2008), 778-783.
4. V. Daftardar-Gejji and S. Bhalekar, Solving fractional diffusion-wave equations using the new iterative method, Frac Calc Appl Anal 11 (2008), 193-202.
5. S. Bhalekar and V. Daftardar-Gejji, Proving convergence of the new iterative method, Comput Math Appl, submitted.
6. D. D. Ganji, H. Tari, and M. Bakhshi Jooybari, Variational iteration method and homotopy perturbation method for nonlinear evolution equations, Comput Math Appl 54 (2007), 1018-1027.
7. M. A. Hajji and K. Al-Khaled, Two reliable methods for solving nonlinear evolution equations, Appl Math Comput 186 (2007), 1151-1162.
8. B. Q. Zang, Q. B. Wu, and X. G. Luo, Experimentation with two-step Adomian decomposition method to solve evolution models, Appl Math Comput 175 (2006), 1495-1502.
9. N. Bildik and H. Bayramoglu, The solution of two dimensional nonlinear differential equation by the Adomian decomposition method, Appl Math Comput 163 (2005), 519-524.
10. D. D. Ganji, A. Sadighi, and I. Khatami, Assessment of two analytical approaches in some nonlinear problems arising in engineering sciences, Phys Lett A 372 (2008), 4399-4406.