Variational Homotopy Perturbation Method for Solving Higher Dimensional Initial Boundary Value Problems

By Muhammad Aslam Noor, Syed Tauseef Mohyud-Din. 2008

94 citations recorded by the source corpus.

We suggest and analyze a technique by combining the variational iteration method and the homotopy perturbation method. This method is called the variational homotopy perturbation method (VHPM). We use this method for solving higher dimensional initial boundary value problems with variable coefficients. The developed algorithm is quite efficient and is practically well suited for use in these problems. The proposed scheme finds the solution without any discritization, transformation, or restrictive assumptions and avoids the round-off errors. Several examples are given to check the reliability and efficiency of the proposed technique.

Subfields: Modeling and Simulation, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/e403683c15cd07bf8b71b90697af779a135c30c8

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Modeling and Simulation

1. Jagdev Singh
2. Devendra Kumar
3. Dumitru Băleanu
4. Doddabhadrappla Gowda Prakasha
5. Pundikala Veeresha
6. Mehmet Yavuz

In Numerical Analysis

1. Jagdev Singh
2. Devendra Kumar
3. Dumitru Băleanu
4. Doddabhadrappla Gowda Prakasha
5. Pundikala Veeresha

Citations in the corpus

• Homotopy Perturbation Sumudu Transform Method for Nonlinear Equations (2011, methodology): “Furthermore, the homotopy perturbation method is also combined with the well-known Laplace transformation method [35, 45] and the variational iteration method [46] to produce a highly effective technique for handling many nonlinear problems.”