The main purpose of this work is to study the dynamics a fractional-order Covid-19 model. An efficient computational method, which based on discretization domain and memory principle, proposed solve corona model numerically stability method also discussed. Efficiency shown by listing CPU time. It that will for long-time behaviour. Numerical results illustrative graphical simulation are given. technique involves low cost.

In the present paper, we numerically simulate fractional-order model of Bloch equation by using Jacobi polynomials. It arises in chemistry, physics and nuclear magnetic resonance (NMR). also imaging (MRI) electron spin (ESR). is used for purity determination, provided that molecular weight structure compound known. can be structural determination. By study NMR, chemists determine many compounds. The obtained numerical results are compared simulated with known solutions. Accuracy proposed...

In this paper, we present a reliable algorithm to obtain the approximate solution of nonlinear Lane‐Emden type equations arising in astrophysics. The suggested is based upon operational matrix integration for Jacobi polynomials and collocation method. Convergence analysis numerical stability method are provided. Numerical results several interesting cases such as standard equation, white‐dwarf isothermal gas spheres well Richardson's theory thermionic current discussed. These shown form...

In present paper operational matrix of integration for Laguerre polynomial is used to solve fractional model Bloch equation in nuclear magnetic resonance (NMR). The converts the a system linear algebraic equations. Solving we obtain approximate solutions equation. Results are compared with existing methods and exact solution. Graphs plotted different values time derivatives.

In present paper, we solve fractional advection-dispersion equation (ADE) using Jacobi collocation method. This appears in the transport of solutes ground water and soils. Using spectral method ADE is converted into systems nonlinear algebraic equations whose solution leads approximate for this equation. We provide convergence analysis proposed The applicability shown by testing it on some illustrative examples. Numerical results are figures. Absolute error figures show accuracy CPU time...

This paper presents a new algorithm based on operational matrix of fractional integrations for Bloch equation in Nuclear Magnetic Resonance (NMR). For construction Legendre scaling functions are used as basis. Using this the equations, we obtain approximate solutions equation. Convergence well error proposed method is given. Results also compared with known solution. Absolute errors graph plotted to show accuracy algorithm.

The aim of this paper is to solve a class non-linear fractional variational problems (NLFVPs) using the Ritz method and perform comparative study on choice different polynomials in method. has allowed many researchers forms recent years. NLFVP solved by applying orthogonal polynomials. Further, approximate solution obtained solving system nonlinear algebraic equations. Error convergence analysis discussed also provided. Numerical simulations are performed illustrative examples test accuracy...

In this paper, the Legendre spectral collocation method (LSCM) is applied for solution of fractional Bratu's equation. It shows high accuracy and low computational cost LSCM compared with some other numerical methods. The Bratu differential equation transformed into a nonlinear system algebraic equations unknown coefficients solved Some illustrative examples are also given to show validity applicability method, obtained results existing studies highlight its efficiency neglectable error.

In this paper, we present the Jacobi spectral collocation method to solve fractional model of Liénard and Duffing equations with Liouville-Caputo derivative. These are generalisation spring-mass system equation describe oscillating circuit. The main reason for using technique is high accuracy low computational cost compared some other methods. solution behaviours these due orders which explained graphically. convergence analysis proposed also provided. A comparison made between exact...

In this paper we solve initial and boundary value problem for non-homogeneous fractional order partial differential equations. Here use operational matrix approach to construct approximate solutions using Legendre scaling functions as basis. We also give the error analysis of proposed method. Some numerical examples are given verify theoretical bound show stability Results compared with some known methods it is observed that our method more easy implement accurate.