Implementation of reproducing kernel Hilbert algorithm for pointwise numerical solvability of fractional Burgers’ model in time-dependent variable domain regarding constraint boundary condition of Robin

Abstract

Through the utilized investigation, a novel algorithm in reproducing kernel Hilbert approach is applied to generate pointwise numerical solution to time-fractional Burgers’ model in fulness of overdetermination Robin boundary condition. Details theoretical explanations are utilized to interpret pointwise numerical solutions to such fractional models on the space of Sobolev and in the Caputo sense. This remediation optimized pointwise numerical solution depending on the orthogonalization Schmidt process that can be straightway implemented to generate Fourier expansion within a fast convergence rate. The validity and potentiality of the utilized algorithm are expounded by testing the pointwise numerical solvability of a couple of time-fractional Burgers’ models. The schematic plot and tabulated results outcomes signalize that the algorithm procedure is accurate and convenient in the field of fractional sense. Ultimately, future remarks and concluding are acted with the most focused used references.