New Iterative Method for Solving the Fornberg-Whitham Equation and Comparison with Homotopy Perturbation Transform Method

References (34)

1. 1 Homotopy perturbation technique [DOI]
2. 2 A coupling method of a homotopy technique and a perturbation technique for non-linear problems [DOI]
3. 3 Application of homotopy perturbation method to nonlinear wave equations [DOI]
4. 4 Variational iteration method for autonomous ordinary differential systems [DOI]
5. 5 A numerical and theoretical study of certain nonlinear wave phenomena [DOI]
6. 6 Variational methods and applications to water waves [DOI]
7. 7 An iterative method for solving nonlinear functional equations [DOI]
8. 8 A new algorithm for calculating adomian polynomials for nonlinear operators [DOI]
9. 9 Convergence of Adomian's Method [DOI]
10. 10 Introduction to Integral Equations with Applications. [DOI]
11. 11 Decomposition methods: A new proof of convergence [DOI]
12. 12 Homotopy perturbation transform method for nonlinear equations using He’s polynomials [DOI]
13. 13 Beyond Adomian polynomials: He polynomials [DOI]
14. 14 On the convergence of He's variational iteration method [DOI]
15. 15 Recent development of the homotopy perturbation method
16. 16 A comparison between the variational iteration method and Adomian decomposition method [DOI]
17. 17 Weighted finite difference techniques for the one-dimensional advection–diffusion equation [DOI]
18. 18 On the coupling of the homotopy perturbation method and Laplace transformation [DOI]
19. 19 New iterative method: Application to partial differential equations [DOI]
20. 20 Solving fractional boundary value problems with Dirichlet boundary conditions using a new iterative method [DOI]
21. 21 Solution of physical problems by decomposition [DOI]
22. 22 Exact solutions for heat-like and wave-like equations with variable coefficients [DOI]
23. 23 The variational iteration method: A powerful scheme for handling linear and nonlinear diffusion equations [DOI]
24. 24 A New Hamiltonian Amplitude Equation Governing Modulated Wave Instabilities [DOI]
25. 25 Solving evolution equations using a new iterative method [DOI]
26. 26 A type of bounded traveling wave solutions for the Fornberg–Whitham equation [DOI]
27. 27 The homotopy analysis method for solving the Fornberg–Whitham equation and comparison with Adomian’s decomposition method [DOI]
28. 28 Application of the Laplace Decomposition Method to Nonlinear Homogeneous and Non-Homogenous Advection Equations [DOI]
29. 29 Formulation and Solution of nth‐Order Derivative Fuzzy Integrodifferential Equation Using New Iterative Method with a Reliable Algorithm [DOI]
30. 30 On Using the Homotopy Perturbation Method for Finding the Travelling Wave Solutions of Generalized Nonlinear Hirota- Satsuma Coupled KdV Equations
31. 31 The Variational Iteration Method and the Variational Homotopy Perturbation Method for Solving the KdV-Burgers Equation and the Sharma-Tasso-Olver Equation [DOI]
32. 32 The Homotopy Perturbation Method for Solving Nonlinear Burgers and New Coupled Modified Korteweg-de Vries Equations [DOI]
33. 33 Partial Differential Equations for Scientists and Engineers [DOI]
34. 34 Nonlinear partial differential equations for scientists and engineers [DOI]

Cited by 49

Showing 32 of 49 known citations — external sources report more than can currently be individually listed.

Related research

• The New Iterative Method for Approximate Solutions of Time Fractional Kdv, K(2,2), Burgers, and Cubic Boussinesq Equations — shares topic coverage