The Combined Laplace-homotopy Analysis Method for Partial Differential Equations
- Department of Mathematics, Iran University of Science and Technology, Tehran, Iran.
In this paper, the Laplace transform homotopy analysis method (LHAM) is employed to obtain
approximate analytical solutions of the linear and nonlinear differential equations. This method
is a combined form of the Laplace transform method and the homotopy analysis method. The
proposed scheme finds the solutions without any discretization or restrictive assumptions and is free
from round-off errors and therefore, reduces the numerical computations to a great extent. Some
illustrative examples are presented and the numerical results show that the solutions of the LHAM
are in good agreement with those obtained by exact solution.
- Homotopy analysis method
- Laplace transform method
- partial differential equation.
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