The Solution of the Variable Coefficients Fourth-Order Parabolic Partial Differential Equations by the Homotopy Perturbation Method

By Mehdi Dehghan, Jalil Manafian. 2009

200 citations recorded by the source corpus.

Abstract In this work, the homotopy perturbation method proposed by Ji-Huan He [1] is applied to solve both linear and nonlinear boundary value problems for fourth-order partial differential equations. The numerical results obtained with minimum amount of computation are compared with the exact solution to show the efficiency of the method. The results show that the homotopy perturbation method is of high accuracy and efficient for solving the fourth-order parabolic partial differential equation with variable coefficients. The results show also that the introduced method is a powerful tool for solving the fourth-order parabolic partial differential equations.

Subfields: Modeling and Simulation, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/51ad5872e80d8819d2ba9c4d0320deb9a737b06c

How researchers see this paper

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In Modeling and Simulation

1. Mehrdad Lakestani
2. Jalil Manafian
3. Mehdi Dehghan

In Numerical Analysis

1. Mehrdad Lakestani
2. Jalil Manafian
3. Mehdi Dehghan

Citations in the corpus

• New Improvement of the Expansion Methods for Solving the Generalized Fitzhugh-Nagumo Equation with Time-Dependent Coefficients (2015, methodology): “With the rapid development of nonlinear sciences based on computer algebraic system, many effective methods have been presented, such as the homotopy analysis method [3, 4], the variational iteration method [5–7], the homotopy perturbation method [8, 9], the sine-cosine method [10], the tanh-coth me”