On numerical simulations of time fractional Phi-four equation using Caputo derivative

• Published in: Computational & applied mathematics Vol. 40; no. 7
• Main Authors: Kamran, Mohsin, Majeed, Abdul, Li, Jing
• Format: Journal Article
• Language: English
• Published: Cham Springer International Publishing 01.10.2021; Springer Nature B.V
• Subjects: Applications of Mathematics; Applied physics; B spline functions; Basis functions; Boundary conditions; Collocation methods; Computational mathematics; Computational Mathematics and Numerical Analysis; Derivatives; Interpolation; Mathematical Applications in Computer Science; Mathematical Applications in the Physical Sciences; Mathematical models; Mathematics; Mathematics and Statistics; Norms; Partial differential equations; Particle physics; Time fractional Phi-Four equation (TFPF); norms; Caputo derivative; and; 65M06; Cubic B-spline collocation method (CBSCM); Stability analysis; 65N22; 65D07

The fractional model which played an essential role in nuclear and particle physics used to describe the nuclear element interaction is the Phi-four model. This manuscript aims to scrutinize the new numerical solution of the nonlinear time fractional Phi-four equation subject to nonhomogeneous initi...