Published in International Journal of Applied and Computational Mathematics
Solving linear system is central to scientific computations. Given a linear system Ax=b\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$Ax=b$$\end{document}, where A is ...
Published in International Journal of Applied and Computational Mathematics
The main objective of this paper is to describe new analytical solutions for the nonlinear fractional Fisher equation, the nonlinear fractional Boussinesq-like equation and the nonlinear fractional FKG equation via Atangana–Baleanu fractional operator in the Caputo operator (ABC). The Natural homotopy perturbation method which is combining between ...
Published in International Journal of Applied and Computational Mathematics
In this article, the solution for Volterra–Fredholm integral equation (V–FIE) is investigated numerically by using the generalized Lucas polynomials. We approximate the solution of this equation as a base of the collocation method. This method depends on the operational matrices of these polynomials. These expansions and the properties of the gener...
Published in International Journal of Applied and Computational Mathematics
In this article, we have considered a system of type-2 fuzzy differential equation (ST2FDE) to represent Richardson’s arms race model in type-2 fuzzy environment. A novel theorem on the type-2 fuzzy extension principle is presented here and the model has been solved by the gH2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \...
Published in International Journal of Applied and Computational Mathematics
In this paper, we consider a stochastic model in which the population grows according to the batch Markovian arrival process and is subjected to renewal generated geometric catastrophes. Our analytical work starts from the vector generating function (VGF) of the population size at post-catastrophe epoch. We develop a methodology for extracting the ...
Published in International Journal of Applied and Computational Mathematics
In this paper, a study concerning strong plane and cylindrically symmetric shock waves in a dusty gas atmosphere under isothermal condition has been performed, by taking into account the power series expansion method. The flow medium is assumed to be a mixture of perfect gas and small solid particles. The governing equation and associated boundary ...
Published in International Journal of Applied and Computational Mathematics
The (2+1)-dimensional variable-coefficient Date–Jimbo–Kashiwara–Miwa (vDJKM) and the (3+1)-dimensional Boiti–Leon–Manna-Pempinelli (BLMP) equations have been examined to acquire new soliton solutions of the non-linear evolution equations (NLEEs). Furthermore, we have employed the sigmoid function method to achieve exact solutions of the vDJKM and B...
Published in International Journal of Applied and Computational Mathematics
This article examines the bio-convection of an incompressible nanofluid past an inclined wavy surface. Buongiorno’s model which takes account of Brownian motion and thermophoresis is used for nanofluid. A coordinate transformation is utilized to convert the wavy surface to a plane surface. The equations governing the flow and the accompanying bound...
Published in International Journal of Applied and Computational Mathematics
An investigation on ion acoustic solitary waves has been presented in a weakly ionized plasma in the occurrence of ion-neutral collision with united effects of trapped and non-thermal electrons. Ion-neutral collision plays a very important role on the propagation of solitary waves in a weakly ionized plasma. In this work, damped Korteweg-de Vries-l...
Published in International Journal of Applied and Computational Mathematics
In this work the longitudinal wave equation through magneto-electro-elastic circular rod is studied analytically. Painlevé test is performed to check integrability of the equation. Exact solitary wave solutions are found by homogeneous balance method and Tanh method and are plotted using suitable values of physical parameters. A solution similar to...
