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Variational Homotopy Perturbation Method for Solving Riccati Type Differential Problems
Department of Mathematics, Faculty of Sciences, King Abdulaziz University, Jeddah, Saudi Arabia
Department of Mathematics, Faculty of Sciences, King Abdulaziz University, Jeddah, Saudi Arabia
- 1 Department of Mathematics, Faculty of Sciences, King Abdulaziz University, Jeddah, Saudi Arabia
- 2 Department of Mathematics, Faculty of Sciences, King Abdulaziz University, Jeddah, Saudi Arabia
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Abstract
In this paper, a Variational homotopy perturbation method is proposed to solve nonlinear Riccati differential equation. By combining the Variational Iteration Method and the Homotopy Perturbation Method, this technique possesses a fast convergence rate with high accuracy. The results reveal that the proposed method is very effective and simple.
KeywordsRiccati EquationHomotopy Perturbation MethodVariational Iteration MethodVariational Homotopy Perturbation Method
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