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Numerical analysis nonlinear multi‐term time fractional differential equation with collocation method via fractional B‐spline
Authors:Mohammad Ramezani
Abstract:In this work, we present numerical analysis for nonlinear multi‐term time fractional differential equation which involve Caputo‐type fractional derivatives for urn:x-wiley:mma:media:mma5642:mma5642-math-0001. The proposed method is based on utilization of fractional B‐spline basics in collocation method. The scheme can be readily obtained efficient and quite accurate with less computational work numerical result. The proposal approach transform nonlinear multi‐term time fractional differential equation into a suitable linear system of algebraic equations which can be solved by a suitable numerical method. The numerical experiments will be verify to demonstrate the effectiveness of our method for solving one‐ and two‐dimensional multi‐term time fractional differential equation.
Keywords:B‐spline  fractional B‐spline  multi term fractional  nonlinear fractional differential equation
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