On a modication of the Chebyshev collocation method for solving fractional diffiusion equation

الموضوعات : فصلنامه ریاضی

Hosein jalebbonab ¹ ( Central Tehran Branch, Islamic Azad University, Tehran ,Iran )
Hojatollah Adibi ² ( Amirkabir Univertsity of Technology )

تاريخ الإرسال : 05 الثلاثاء , ربيع الثاني, 1438 تاريخ التأكيد : 15 السبت , صفر, 1439 تاريخ الإصدار : 04 السبت , رجب, 1438

الکلمات المفتاحية: Collocation, Finite difference, Fractional diffusion equation, Caputo derivative, Fractional Riccati differential equation, Chebyshev polynomials,

ملخص المقالة :

In this article a modification of the Chebyshev collocation method is applied to the solution of space fractional differential equations.The fractional derivative is considered in the Caputo sense.The finite difference scheme and Chebyshev collocation method are used .The numerical results obtained by this way have been compared with other methods.The results show the reliability and efficiency of the proposed method.