In this article, the Differential Transformation method (DTM) has been utilized for finding the n... more In this article, the Differential Transformation method (DTM) has been utilized for finding the numerical/analytical solution of the Kawahara equation. This method can be used to obtain the exact solutions of Kawahara equation. In the end, some numerical tests are presented to demonstrate the effectiveness
and efficiency of the proposed method.
In this paper, an alternative method for accurately and efficiently
modeling for the one-dimens... more In this paper, an alternative method for accurately and efficiently
modeling for the one-dimensional Telegraph equation that combines classical and integral boundary conditions is presented. New matrix formulation technique with arbitrary polynomial bases is proposed for the numerical/analytical solution of this kind of partial differential equation. Not only the exact solutions have been achieved by the known forms of the series solutions, but also for the finite terms of series, the corresponding numerical approximations have been computed. I give a simple and efficient algorithm based on an iterative process for numerical solution of the method. Some numerical examples are included to demonstrate the validity and applicability of the technique.
Based on the new method in [1-3], a New matrix formulation technique based on the arbitrary polyn... more Based on the new method in [1-3], a New matrix formulation technique based on the arbitrary polynomial base is proposed for solving a Sobolev-type equation with nonclassical boundary conditions. By using the operational matrix of derivative, we reduce the problem to a set of linear algebraic equations.
In this article, the Differential Transformation method (DTM) has been utilized for finding the n... more In this article, the Differential Transformation method (DTM) has been utilized for finding the numerical/analytical solution of the Kawahara equation. This method can be used to obtain the exact solutions of Kawahara equation. In the end, some numerical tests are presented to demonstrate the effectiveness
and efficiency of the proposed method.
In this paper, an alternative method for accurately and efficiently
modeling for the one-dimens... more In this paper, an alternative method for accurately and efficiently
modeling for the one-dimensional Telegraph equation that combines classical and integral boundary conditions is presented. New matrix formulation technique with arbitrary polynomial bases is proposed for the numerical/analytical solution of this kind of partial differential equation. Not only the exact solutions have been achieved by the known forms of the series solutions, but also for the finite terms of series, the corresponding numerical approximations have been computed. I give a simple and efficient algorithm based on an iterative process for numerical solution of the method. Some numerical examples are included to demonstrate the validity and applicability of the technique.
Based on the new method in [1-3], a New matrix formulation technique based on the arbitrary polyn... more Based on the new method in [1-3], a New matrix formulation technique based on the arbitrary polynomial base is proposed for solving a Sobolev-type equation with nonclassical boundary conditions. By using the operational matrix of derivative, we reduce the problem to a set of linear algebraic equations.
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Papers by Babak Soltanalizadeh
and efficiency of the proposed method.
modeling for the one-dimensional Telegraph equation that combines classical and integral boundary conditions is presented. New matrix formulation technique with arbitrary polynomial bases is proposed for the numerical/analytical solution of this kind of partial differential equation. Not only the exact solutions have been achieved by the known forms of the series solutions, but also for the finite terms of series, the corresponding numerical approximations have been computed. I give a simple and efficient algorithm based on an iterative process for numerical solution of the method. Some numerical examples are included to demonstrate the validity and applicability of the technique.
and efficiency of the proposed method.
modeling for the one-dimensional Telegraph equation that combines classical and integral boundary conditions is presented. New matrix formulation technique with arbitrary polynomial bases is proposed for the numerical/analytical solution of this kind of partial differential equation. Not only the exact solutions have been achieved by the known forms of the series solutions, but also for the finite terms of series, the corresponding numerical approximations have been computed. I give a simple and efficient algorithm based on an iterative process for numerical solution of the method. Some numerical examples are included to demonstrate the validity and applicability of the technique.