Ghasem Kazemi gelian Articles List

List of Articles Ghasem Kazemi gelian

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1 - Numerical Solution of the Burgers' Equation Based on Sinc Method
Ghasem Kazemi Gelian Mohammad Ali Fariborzi Araghi

Burgers' equation arises in various areas of applied mathematics,&lrm;&lrm;such as modeling of dynamics&lrm;, &lrm;heat conduction&lrm;, &lrm;and acoustic&lrm;&lrm;waves&lrm; Also&lrm;, &lrm;this equation has a large variety of applications in&lrm;&lrm;the modeling of w More

Burgers' equation arises in various areas of applied mathematics,&lrm;&lrm;such as modeling of dynamics&lrm;, &lrm;heat conduction&lrm;, &lrm;and acoustic&lrm;&lrm;waves&lrm; Also&lrm;, &lrm;this equation has a large variety of applications in&lrm;&lrm;the modeling of water in unsaturated soil&lrm;, &lrm;dynamics of soil&lrm;&lrm;water&lrm;, &lrm;models of traffic&lrm;, &lrm;turbulence and fluid flow&lrm;, &lrm;mixing and&lrm;&lrm;turbulent diffusion. Many researchers tried to find analytic and numerical solutions of&lrm;&lrm; this equation by different methods.Sinc method is a powerful numerical tool for finding fast and&lrm;&lrm;accurate solution in various areas of problems.&lrm;In this paper&lrm;, &lrm;numerical solution of Burgers' equation&lrm;&lrm;is considered by applying Sinc method&lrm;. &lrm;For this purpose&lrm;, &lrm;we apply&lrm;&lrm;Sinc method in cooperative with a classic finite difference&lrm;&lrm;formula to&lrm; &lrm;Burgers'equation&lrm;. &lrm;&lrm;The purpose of this paper is to extend the application of the&lrm;&lrm;sinc method for solving Burgers'equation by considering stability&lrm;&lrm;analysis of the method.&lrm; Numerical examples are provided to verify the validity of proposed method Manuscript profile
Open Access Article
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2 - The combined Sinc-Taylor expansion method to solve Abel's integral equation
M Fariborzi Araghi Gh Kazami-Gelian

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...

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... Manuscript profile

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List of Articles Ghasem Kazemi gelian