A Comparative Study of Successive Approximations Method and He-Laplace Method

References (35)

1. 1 SOME ASYMPTOTIC METHODS FOR STRONGLY NONLINEAR EQUATIONS [DOI]
2. 2 Homotopy perturbation method for solving boundary value problems [DOI]
3. 3 Variational iteration method for autonomous ordinary differential systems [DOI]
4. 4 Partial Differential Equations for Scientists and Engineers [DOI]
5. 5 The homotopy perturbation method for nonlinear oscillators with discontinuities [DOI]
6. 6 Homotopy Perturbation Method for Bifurcation of Nonlinear Problems [DOI]
7. 7 A new algorithm for calculating adomian polynomials for nonlinear operators [DOI]
8. 8 Linear and Nonlinear Integral Equations [DOI]
9. 9 Comparison of homotopy perturbation method and homotopy analysis method [DOI]
10. 10 AN ELEMENTARY INTRODUCTION TO RECENTLY DEVELOPED ASYMPTOTIC METHODS AND NANOMECHANICS IN TEXTILE ENGINEERING [DOI]
11. 11 Decomposition methods: A new proof of convergence [DOI]
12. 12 Linear and Nonlinear Integral Equations: Methods and Applications [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 He's Homotopy Perturbation Method for Calculating Adomian Polynomials [DOI]
17. 17 A comparison between the variational iteration method and Adomian decomposition method [DOI]
18. 18 Weighted finite difference techniques for the one-dimensional advection–diffusion equation [DOI]
19. 19 Traveling Wave Solutions of Seventh-order Generalized KdV Equations Using He's Polynomials [DOI]
20. 20 Homotopy Perturbation Method for Solving Fourth-Order Boundary Value Problems [DOI]
21. 21 He’s homotopy perturbation method for solving systems of Volterra integral equations of the second kind [DOI]
22. 22 He’s homotopy perturbation method for a boundary layer equation in unbounded domain [DOI]
23. 23 Solution of physical problems by decomposition [DOI]
24. 24 Exact solutions for heat-like and wave-like equations with variable coefficients [DOI]
25. 25 The variational iteration method: A powerful scheme for handling linear and nonlinear diffusion equations [DOI]
26. 26 A New Hamiltonian Amplitude Equation Governing Modulated Wave Instabilities [DOI]
27. 27 He‐Laplace Method for Linear and Nonlinear Partial Differential Equations [DOI]
28. 28 Application of the Laplace Decomposition Method to Nonlinear Homogeneous and Non-Homogenous Advection Equations [DOI]
29. 29 Homotopy Perturbation Algorithm using Laplace Transformation
30. 30 SOLVING SECOND-ORDER SINGULAR PROBLEMS USING HES POLYNOMIALS
31. 31 A variational iteration method for solving parabolic partial differential equations [DOI]
32. 32 A Comparison Between the Variational Iteration Method and Trapezoidal Rule for Solving Linear Integro-Differential Equations
33. 33 Modified Variational Iteration Method for Goursat and Laplace Problems
34. 34 Improved Homotopy Perturbation Method
35. 35 Modified Variational Iteration Methods for Thomas-Fermi Equation

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