Collocation Discrete Least Squares meshless Method for solving Nonlinear Multi-term Time Fractional Differential Equations

Jafari, Hossein; Malidareh, Babak Fazli; Hosseini, Vahid Reza

doi:10.1016/j.enganabound.2023.10.014

Cited by 6 publications

(1 citation statement)

References 38 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Nowadays, the applications of fractional equations in mathematics, engineering and technology, biology, social science and sociology cover various topics such as modeling of nonlinear earthquake oscillations, color vibrations, fluid dynamics, dynamic economics, control theory, signal processing, and so on [1,2]. Therefore, many techniques have been developed for solving fractional differential equations (see for example [3][4][5][6][7][8][9] and references therein).…”

Section: Introductionmentioning

confidence: 99%

A novel finite difference scheme for numerical solution of fractional order population growth model

Rahrovi,

Mahmoudi,

Salimi Shamloo

et al. 2024

Phys. Scr.

View full text Add to dashboard Cite

In this paper, we propose a new scheme based on theimplicit finite difference method for solving thefractional population growth model (FPGM). We use the well-known L1finite difference method to approximate the Caputofractional derivative of order $0<\alpha\leq1$, and the linearinterpolation to approximate the integral part. We provide a studyon the stability and convergence of the scheme. We present thenumerical solution of the proposed method and compare it with threeother methods to demonstrate its validity and efficiency.

show abstract