Numerical Solution of Traveling Waves in Chemical Kinetics: Time-Fractional Fishers Equations

Abstract

This paper addresses the numerical solution of nonlinear time-fractional Fisher equations via local meshless method combined with explicit difference scheme. This procedure uses radial basis functions to compute space derivatives while Caputo derivative scheme utilizes for time-fractional integration to semi-discretize the model equations. To assess the accuracy, maximum error norm is used. In order to validate the proposed method, some non-rectangular domains are also considered.

Mathematical modeling and analysis of COVID-19: A study of new variant Omicron

“…The heredity properties, the memory, and the crossover behavior can only be observed in a model with a fractional-order system. The fractional calculus with different fractional operators and their applications have been found, in integrodifferential equations [12] , the development in the operators [13] , [14] , application to epidemiology [15] , [16] , [17] , application to wave dynamics equations, [18] , [19] etc. The COVID-19 model with time delay and stochastic differential equation is explored in [20] .…”

Cytotoxicity evaluation of environmentally friendly synthesis Copper/Zinc bimetallic nanoparticles on MCF-7 cancer cells

“…Nanotechnology is a novel technology that has spread rapidly due to its transformative, miraculous and incredible effects (Cao et al 2021a ; Chu et al 2021 ). Nanotechnology has wide applications in various fields from food (Ningthoujam et al 2022 ; Parimaladevi et al 2018 ), medicine (Chu et al 2022 ), medical diagnostics (Nazari-Vanani et al 2019 ) and biotechnology (Kannan et al 2021 ; Rabiee et al 2021 ) to electronics (Song et al 2015 ), computers (Zhao et al 2021 ), communications (Zhao, Khan 2021 ), transportation (Mathew et al 2019 ), energy (Dey et al 2022 ), environment (Kannan et al 2020 ; Liu et al 2022 ), materials (Cao et al 2021b ; Wang et al 2022 ), aerospace (Haynes and Asmatulu 2013 ), and national security (Zha 2021 ). Currently, the special properties of these nanomaterials such as magnetic properties, quantum size, optical and biological properties have been considered by scientists (Luo et al 2021 ; Wang et al 2022 ; Rahdar et al 2021a ; Rahdar et al 2021b ).…”

A Review of High-Energy Density Lithium-Air Battery Technology: Investigating the Effect of Oxides and Nanocatalysts

“…Most importantly, the durability of the cycling performance increased from 32 to 61 cycles when Co 3 O 4 NPs were doped on SP, and further increased to 73 cycles for Co 3 O 4 NWs/Super P (Figures 4(d)-4(i)). e results clearly indicated that NWs had superior catalytic activity and stability in oxygen electrochemical reactions [29]. Due to this point, the importance of nanotechnology in preparing the appropriate cathode structure is determined [30,31].…”