In this paper a new method for solving Goursat problem is introduced using Reduced Differential Transform Method (RDTM). The approximate analytical solution of the problem is calculated in the form of series with easi...In this paper a new method for solving Goursat problem is introduced using Reduced Differential Transform Method (RDTM). The approximate analytical solution of the problem is calculated in the form of series with easily computable components. The comparison of the methodology presented in this paper with some other well known techniques demonstrates the effectiveness and power of the newly proposed methodology.展开更多
In this paper, a numerical solution of nonlinear partial differential equation, Benjamin-Bona-Mahony (BBM) and Cahn-Hilliard equation is presented by using Adomain Decomposition Method (ADM) and Variational Iteration ...In this paper, a numerical solution of nonlinear partial differential equation, Benjamin-Bona-Mahony (BBM) and Cahn-Hilliard equation is presented by using Adomain Decomposition Method (ADM) and Variational Iteration Method (VIM). The results reveal that the two methods are very effective, simple and very close to the exact solution.展开更多
This paper investigates the numerical solution of the uncertain inverse heat conduction problem. Uncertainties present in the system parameters are modelled through triangular convex normalized fuzzy sets. In the solu...This paper investigates the numerical solution of the uncertain inverse heat conduction problem. Uncertainties present in the system parameters are modelled through triangular convex normalized fuzzy sets. In the solution process, double parametric forms of fuzzy numbers are used with the variational iteration method （VIM）. This problem first computes the uncertain temperature distribution in the domain. Next, when the uncertain temperature measurements in the domain are known, the functions describing the uncertain temperature and heat flux on the boundary are reconstructed. Related example problems are solved using the present procedure. We have also compared the present results with those in [Inf. Sci. （2008） 178 1917] along with homotopy perturbation method （HPM） and [Int. Commun. Heat Mass Transfer （2012） 39 30] in the special cases to demonstrate the validity and applicability.展开更多
In this article,the variation of temperature distribution and fin efficiency in a porous moving fin of rectangular profile is studied.This study is performed using Darcy's model to formulate the governing heat tra...In this article,the variation of temperature distribution and fin efficiency in a porous moving fin of rectangular profile is studied.This study is performed using Darcy's model to formulate the governing heat transfer differential equation.The approximate analytical solution is generated using the variational iteration method(VIM).The power series solution is validated by benchmarking it against the numerical solution obtained by applying the Runge-Kutta fourth order method.A good agreement between the analytical and numerical results is observed.The effects of porosity parameter,Peclet number and other thermo-physical parameters,such as the power index of heat transfer coefficient,convective-conductive parameter,radiative-conductive parameter,thermal conductivity gradient and non-dimensional ambient temperature on non-dimensional temperature are also studied and explained.The results indicate that the fin rapidly dissipates heat to the ambient temperature with an increase in the Peclet number,convection-radiation parameters and the porosity parameter.展开更多
文摘In this paper a new method for solving Goursat problem is introduced using Reduced Differential Transform Method (RDTM). The approximate analytical solution of the problem is calculated in the form of series with easily computable components. The comparison of the methodology presented in this paper with some other well known techniques demonstrates the effectiveness and power of the newly proposed methodology.
文摘In this paper, a numerical solution of nonlinear partial differential equation, Benjamin-Bona-Mahony (BBM) and Cahn-Hilliard equation is presented by using Adomain Decomposition Method (ADM) and Variational Iteration Method (VIM). The results reveal that the two methods are very effective, simple and very close to the exact solution.
基金the UGC, Government of India, for financial support under the Rajiv Gandhi National Fellowship (RGNF)
文摘This paper investigates the numerical solution of the uncertain inverse heat conduction problem. Uncertainties present in the system parameters are modelled through triangular convex normalized fuzzy sets. In the solution process, double parametric forms of fuzzy numbers are used with the variational iteration method （VIM）. This problem first computes the uncertain temperature distribution in the domain. Next, when the uncertain temperature measurements in the domain are known, the functions describing the uncertain temperature and heat flux on the boundary are reconstructed. Related example problems are solved using the present procedure. We have also compared the present results with those in [Inf. Sci. （2008） 178 1917] along with homotopy perturbation method （HPM） and [Int. Commun. Heat Mass Transfer （2012） 39 30] in the special cases to demonstrate the validity and applicability.
文摘In this article,the variation of temperature distribution and fin efficiency in a porous moving fin of rectangular profile is studied.This study is performed using Darcy's model to formulate the governing heat transfer differential equation.The approximate analytical solution is generated using the variational iteration method(VIM).The power series solution is validated by benchmarking it against the numerical solution obtained by applying the Runge-Kutta fourth order method.A good agreement between the analytical and numerical results is observed.The effects of porosity parameter,Peclet number and other thermo-physical parameters,such as the power index of heat transfer coefficient,convective-conductive parameter,radiative-conductive parameter,thermal conductivity gradient and non-dimensional ambient temperature on non-dimensional temperature are also studied and explained.The results indicate that the fin rapidly dissipates heat to the ambient temperature with an increase in the Peclet number,convection-radiation parameters and the porosity parameter.
