Results 21 to 30 of about 665,985 (155)
Initial Value Problems for System of Wave Equations
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2009 We present solutions to the Cauchy problem and the Goursat problem for system of wave equations. Discharged analogue d'Alembert formula for system of wave equations.
S. V. Leksina
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Generalized (ψ,α,β)—Weak Contractions for Initial Value Problems
Mathematics, 2019 A class of generalized ( ψ , α , β ) —weak contraction is introduced and some fixed-point theorems in a framework of partially ordered metric spaces are proved.
Piyachat Borisut +3 more
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Resolution of Initial Value Problems of Ordinary Differential Equations Systems
Mathematics, 2022 In this work, we present some techniques applicable to Initial Value Problems when solving a System of Ordinary Differential Equations (ODE). Such techniques should be used when applying adaptive step-size numerical methods.
Josep Vicent Arnau i Córdoba +1 more
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Analysis of Multiterm Initial Value Problems with Caputo–Fabrizio Derivative
Journal of Mathematics, 2021 In this paper, we discuss the solvability of a class of multiterm initial value problems involving the Caputo–Fabrizio fractional derivative via the Laplace transform.
Mohammed Al-Refai, Muhammed Syam
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Mathematics, 2021 The purpose of the present work is to construct a new Runge–Kutta pair of orders five and four to outperform the state-of-the-art in these kind of methods when addressing problems with periodic solutions.
Vladislav N. Kovalnogov +4 more
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Mathematics, 2021 In this paper we study a fuzzy predator-prey model with functional response arctan(ax). The fuzzy derivatives are approximated using the generalized Hukuhara derivative. To execute the numerical simulation, we use the fuzzy Runge-Kutta method.
Saed Mallak +2 more
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Efficient Semi-Analytic Technique for Solving Nonlinear Singular Initial Value Problems
Ibn Al-Haitham Journal for Pure and Applied Sciences, 2017 The aim of this paper is to present a semi - analytic technique for solving singular initial value problems of ordinary differential equations with a singularity of different kinds to construct polynomial solution using two point osculatory ...
Luma N. M. Tawfiq, Reem W. Hussein
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Mathematical Modelling and Analysis, 2013 In this paper, a Piecewise Adomian Decomposition Method (PADM) is used to obtain the analytical approximate solution for a class of infinite horizon nonlinear optimal control problems (OCPs). The method is a new modification of the standard ADM, in which
Hassan Saberi Nik +2 more
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Computability of Initial Value Problems
We demonstrate that techniques of Weihrauch complexity can be used to get easy and elegant proofs of known and new results on initial value problems. Our main result is that solving continuous initial value problems is Weihrauch equivalent to weak Kőnig's lemma, even if only solutions with maximal domains of existence are considered.
Vasco Brattka, Hendrik Smischliaew
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On Solution of Regular Singular Initial Value Problems
Ibn Al-Haitham Journal for Pure and Applied Sciences, 2017 This paper devoted to the analysis of regular singular initial value problems for ordinary differential equations with a singularity of the first kind , we propose semi - analytic technique using two point osculatory interpolation to construct ...
Luma. N. M. Tawfiq, Reem. W. Hussein
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