A suitable hybrid meshless method for the numerical solution of time-fractional fourth-order reaction–diffusion model in the multi-dimensional case.

This paper introduces a mixed meshless method for the numerical solution of time-fractional fourth-order reaction–diffusion model in multi-dimensional case. By additional variable σ = Δ ψ , the fourth-order derivative in the equation can be converted to a system of paired two second-order equations. The current method converts the problem into a system of linear algebraic equations. To demonstrate the capability and flexibility of the proposed method, some examples with different geometric domains are given in one, two and three dimensional cases. [ABSTRACT FROM AUTHOR]