Laplace transform for the solution of higher order deformation equations arising in the homotopy analysis method
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Publication:742846
DOI10.1007/s11075-013-9773-0zbMath1298.65108OpenAlexW1996475414MaRDI QIDQ742846
Publication date: 19 September 2014
Published in: Numerical Algorithms (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11075-013-9773-0
Nonlinear ordinary differential equations and systems (34A34) Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Numerical methods for initial value problems involving ordinary differential equations (65L05) Laplace transform (44A10)
Uses Software
Cites Work
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- The comparison between homotopy analysis method and optimal homotopy asymptotic method for nonlinear age-structured population models
- Gaussian waves in the Fitzhugh-Nagumo equation demonstrate one role of the auxiliary function \(H(x, t)\) in the homotopy analysis method
- On series solution for unsteady boundary layer equations in a special third grade fluid
- An analytical approach for solving nonlinear boundary value problems in finite domains
- Mathematical properties of \(\hbar\)-curve in the frame work of the homotopy analysis method
- Control of error in the homotopy analysis of semi-linear elliptic boundary value problems
- Comparison of homotopy analysis method and homotopy perturbation method through an evolution equation
- On the selection of auxiliary functions, operators, and convergence control parameters in the application of the homotopy analysis method to nonlinear differential equations: a general approach
- An optimal homotopy-analysis approach for strongly nonlinear differential equations
- A new spectral-homotopy analysis method for solving a nonlinear second order BVP
- Unique and multiple PHAM series solutions of a class of nonlinear reactive transport model
- Solving a model for the evolution of smoking habit in Spain with homotopy analysis method
- Optimal homotopy analysis method for nonlinear differential equations in the boundary layer
- Exact analytic, regular perturbation and numerical solutions of symmetry reductions of a (2+1)-dimensional KdV-Burgers equation
- Symmetry analysis of initial-value problems
- Homotopy Analysis Method in Nonlinear Differential Equations
- Beyond Perturbation
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