Euler-sinc collocation method for Caputo time fractional partial differential equations arising in engineering sciences

چکیده مقاله

In this paper‎, ‎Euler-sinc collocation method incorporated with a Double Exponential (DE) transformation is implemented for a class of time fractional convection-diffusion equations on a bounded‎ ‎domain that involve Caputo derivative and arise e.g. in earthquake modeling and in other areas of engineering sciences‎. ‎The approach is based on the collocation technique where the‎ ‎Euler polynomials in time and the DE sinc functions in space are employed‎, ‎respectively‎. ‎The problem‎ ‎is reduced to the solution of a system of linear algebraic equations‎. ‎Numerical examples are included‎ ‎to demonstrate the reliability and significant advantages of the newly proposed method‎. ‎The results are ‎found to be in good agreement with the numerical/exact/available solutions‎.