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المقاله
1 - Numerical Solution of the Burgers' Equation Based on Sinc MethodTheory of Approximation and Applications , العدد 1 , السنة 13 , زمستان 2019Burgers' equation arises in various areas of applied mathematics,such as modeling of dynamics, heat conduction, and acousticwaves Also, this equation has a large variety of applications inthe modeling of w أکثرBurgers' equation arises in various areas of applied mathematics,such as modeling of dynamics, heat conduction, and acousticwaves Also, this equation has a large variety of applications inthe modeling of water in unsaturated soil, dynamics of soilwater, models of traffic, turbulence and fluid flow, mixing andturbulent diffusion. Many researchers tried to find analytic and numerical solutions of this equation by different methods.Sinc method is a powerful numerical tool for finding fast andaccurate solution in various areas of problems.In this paper, numerical solution of Burgers' equationis considered by applying Sinc method. For this purpose, we applySinc method in cooperative with a classic finite differenceformula to Burgers'equation. The purpose of this paper is to extend the application of thesinc method for solving Burgers'equation by considering stabilityanalysis of the method. Numerical examples are provided to verify the validity of proposed method تفاصيل المقالة -
المقاله
2 - The combined Sinc-Taylor expansion method to solve Abel's integral equationTheory of Approximation and Applications , العدد 1 , السنة 10 , زمستان 2016In this paper , numerical solotion of Abel's integral equationby using the Taylor expanssion of the unknown functionvia collection method based on Sinc is considered...In this paper , numerical solotion of Abel's integral equationby using the Taylor expanssion of the unknown functionvia collection method based on Sinc is considered... تفاصيل المقالة -
المقاله
3 - Numerical Solution of the Lane-Emden Equation Based on DE Transformation via Sinc Collocation MethodInternational Journal of Mathematical Modeling & Computations , العدد 4 , السنة 8 , تابستان 2018In this paper, numerical solution of general Lane-Emden equation via collocation method based on Double Exponential DE transformation is considered. The method converts equation to the nonlinear Volterra integral &l أکثرIn this paper, numerical solution of general Lane-Emden equation via collocation method based on Double Exponential DE transformation is considered. The method converts equation to the nonlinear Volterra integral equation. Numerical examples show the accuracy of the method. Also, some remarks with respect to run-time, computational cost and implementation are discussed. تفاصيل المقالة