O. Tasbozan

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The aim of the present paper is to obtain the approximate analytical solutions of time-fractional damped burger and CahnAllen equations by means of the homotopy analysis method (HAM). In the HAM solution, there exists an auxiliary parameter h̄ which provides a convenient way to adjust and check the convergence region of the solution series. In the model(More)
In this work, our aim is to obtain a numerical solution to some fractional differential equations. In the solution process, we have used fractional derivatives in Caputo sense. The fundamental characteristics of the present method is the fact that it converts complex problems into those requiring the solution of algebraic ones, which is obviously more easy(More)
In the present article, we are going to investigate the numerical solutions of time fractional nonlinear Schrödinger equation which is frequently encountered in quantum mechanics by using cubic B-spline collocation method. To be able to control the efficiency of the proposed method, some sample problems have been studied in this article. The outstanding(More)
In this paper, the Homotopy Analysis Method (HAM) is applied to the damped Burgers and Boussinesq-Burgers equations to obtain their approximate analytical solutions. The HAM solution includes an auxiliary parameter h̄ which provides a convenient way to adjust and control the convergence region of the solution series. An appropriate choice of the auxiliary(More)
In this paper,we handle ZK-BBM equation and to obtain its approximate analytical solutions, we use the homotopy analysis method (HAM), whose solution includes an auxiliary parameter h̄. This parameter provides a suitable way for setting and controlling the convergence region of solution series. So we investigate a suitable choice of the auxiliary parameter(More)
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