شماره ركورد كنفرانس
4639
عنوان مقاله
Numerical study on time-fractional convection-diffusion equation
پديدآورندگان
Behroozifar M. m_behroozifar@nit.ac.ir Faculty of Mathematics Babol University of Technology , Sazmand A. sazmandafsane@gmail.com Faculty of Mathematics Babol University of Technology
تعداد صفحه
4
كليدواژه
Time , fractional convection , diffusion equation , Caputo fractional derivative , Jacobi polynomials.
سال انتشار
1395
عنوان كنفرانس
اولين كنفرانس فيزيك رياضي ايران
زبان مدرك
انگليسي
چكيده فارسي
In this research, a method to numerically solve a time-fractional convection-diffusion equation is presented that is based upon the operational matrices of shifted Jacobi polynomials. Problem is converted to a homogeneous problem by interpolation and afterwards an integro-differential equation is yielded. Then we approximate the known and unknown functions with the help of shifted Jacobi functions. A system of nonlinear algebraic equations is obtained which is solved by MathematicaTM. In order to indicate the high efficiency method we implement the proposed method for several examples.
كشور
ايران
لينک به اين مدرک