Results 1 to 10 of about 25,064 (217)
Analytical and Numerical Simulations of a Delay Model: The Pantograph Delay Equation
Axioms, 2022 In this paper, the pantograph delay differential equation y′(t)=ay(t)+byct subject to the condition y(0)=λ is reanalyzed for the real constants a, b, and c. In the literature, it has been shown that the pantograph delay differential equation, for λ=1, is
Essam Roshdy El-Zahar, Abdelhalim Ebaid
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New Exact Solutions of Burgers’ Equation Using Power Index Method
Discrete Dynamics in Nature and Society, 2022 In this article, we focus on the new exact solutions of Burger’s equation by using a new technique which is known as the power index method (PIM). In this method, we choose suitable indexes of independent variables and similarity transformation so that ...
Khalil Ahmad, Khudija Bibi
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Two effective methods for solving nonlinear coupled time-fractional Schrödinger equations
Alexandria Engineering Journal, 2023 The objective of this work is to implement two efficient techniques, namely, the Laplace Adomian decomposition method (LADM) and the modified generalized Mittag–Leffler function method (MGMLFM) on a system of nonlinear fractional partial differential ...
Ismail Gad Ameen +2 more
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Peakon solutions of a b-Novikov equation
Applied Mathematics in Science and Engineering, 2022 The homotopy analysis method is applied to a b-Novikov equation in order to obtain analytic approximations of its peakon solution for various values of b.
Aggeliki G. Efstathiou +1 more
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Fuzzy Optimization and Modeling, 2022 In this study, we consider solving the second kind Volterra fuzzy integral equations system in two cases linear and nonlinear by using a semi-analytic method, called Differential Transform Method (DTM).
Mahmoud Paripour, Mandana Takrimi
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Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2019 The exact analytic solution for the stationary two-dimensional heat conduction problem with a heat source for an infinite square bar was obtained. It was based on the Bubnov–Galyorkin orthogonal method using trigonometric systems of coordinate functions.
Igor Vasilievich Kudinov +2 more
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An analytic model of implosion toward possible fusion
Results in Physics, 2016 We apply to a spherically symmetric system a time evolution equation from which an exact solution of the Navier–Stokes equation has been obtained (Muriel, 2011, 2014). The radial density and temperature of a gas is calculated.
A. Muriel
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Mathematical Modelling and Analysis, 2017 We study general cordial Volterra integral equations of the second kind and certain singular fractional integro-differential equation in spaces of analytic functions.
Urve Kangro
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Results in Applied Mathematics, 2022 The present work is devoted to developing two numerical techniques based on fractional Bernstein polynomials, namely fractional Bernstein operational matrix method, to numerically solving a class of fractional integro-differential equations (FIDEs).
M.H.T. Alshbool +3 more
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On one method for analytical solution of Graetz–Nusselt problem
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2011 An approximate analytic solution of heat transfer problem for fluid flow in a circular tube is found using the method of separation of variables, based on the introduction of additional boundary conditions.
A. V. Eremin, N. M. Budylnikov
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