A suitable hybrid meshless method for the numerical solution of time-fractional fourth-order reaction–diffusion model in the multi-dimensional case. (December 2022)

• Record Type: Journal Article
• Authors: Habibirad, Ali; Hesameddini, Esmail; Shekari, Younes
• Is Part Of: Engineering analysis with boundary elements. Volume 145(2022)
• Page Start: 149
• Page End: 160
• Publication Date: 2022-12
• Subjects: 65M12 -- 65M60 -- 34A45; Meshless method -- Fractional derivative -- Moving Kriging (MK) interpolation -- Fourth-order model; Boundary element methods -- Periodicals; Engineering mathematics -- Periodicals; Équations intégrales de frontière, Méthodes des -- Périodiques; Mathématiques de l'ingénieur -- Périodiques; Boundary element methods; Engineering mathematics; Periodicals; 620.00151
• DOI: 10.1016/j.enganabound.2022.09.007
• Languages: English
• ISSNs: 0955-7997

Abstract

Abstract: 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.