Results 1 to 10 of about 4,524,155 (277)
On the numerical Picard iterations with collocations for the initial value problem
Journal of Numerical Analysis and Approximation Theory, 2019 Some variants of the numerical Picard iterations method are presented to solve an IVP for an ordinary differential system. The term "numerical" emphasizes that a numerical solution is computed.
Ernest Scheiber
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An Intial-Value Technique for Self-Adjoint Singularly Perturbed Two-Point Boundary Value Problems
International Journal of Applied Mechanics and Engineering, 2020 In this paper, we present an initial value technique for solving self-adjoint singularly perturbed linear boundary value problems. The original problem is reduced to its normal form and the reduced problem is converted to first order initial value ...
P. Padmaja, P. Aparna, R.S.R. Gorla
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Duhamel-type integral for the initial boundary value problem
St. Petersburg Polytechnical University Journal: Physics and Mathematics, 2021 The paper considers the initial boundary value problem for the wave equation for the case of three spatial variables. The definition of a generalized solution is introduced and the existence and uniqueness theorem is proved.
Anikonov Dmitry, Konovalova Dina
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Control elements in mechanism simulation [PDF]
Modeling, Identification and Control, 1989 The work reported in this paper is a step towards a system for multidisciplinary simulation of structure, mechanism and control elements. The control part of the system is implemented as a subroutine called from the mechanism/FEM package. While Newmark's/
Torleif Iversen
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Initial value problem in string-inspired nonlocal field theory
Journal of High Energy Physics, 2022 We consider a nonlocal scalar field theory inspired by the tachyon action in open string field theory. The Lorentz-covariant action is characterized by a parameter ξ 2 that quantifies the amount of nonlocality.
Harold Erbin +2 more
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On Reusing the Stages of a Rejected Runge-Kutta Step
Mathematics, 2023 Runge-Kutta (RK) pairs are amongst the most popular methods for numerically solving Initial Value Problems. While using an RK pair, we may experience rejection of some steps through the interval of integration.
Vladislav N. Kovalnogov +4 more
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Orthogonal-Based Second Order Hybrid Initial Value Problem Solver
Fountain Journal of Natural and Applied Sciences (FUJNAS), 2016 This work focuses on development of an initial value problem solver by employing a new class of orthogonal polynomial, the basis function. We present the recursive formula of the class of polynomials constructed and adopt collocation technique to ...
E. O. Adeyefa +3 more
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Runge–Kutta Embedded Methods of Orders 8(7) for Use in Quadruple Precision Computations
Mathematics, 2022 High algebraic order Runge–Kutta embedded methods are commonly used when stringent tolerances are demanded. Traditionally, various criteria are satisfied while constructing these methods for application in double precision arithmetic.
Vladislav N. Kovalnogov +4 more
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The Initial Value Problem For Maximally Non-Local Actions [PDF]
, 1997 We study the initial value problem for actions which contain non-trivial functions of integrals of local functions of the dynamical variable. In contrast to many other non-local actions, the classical solution set of these systems is at most discretely ...
D. A. Eliezer +5 more
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An Examination of a Second Order Numerical Method for Solving Initial Value Problems
Journal of Nigerian Society of Physical Sciences, 2020 This paper presents an examination of a Second Order Convergence Numerical Method (SOCNM) for solving Initial Value Problems (IVPs) in Ordinary Differential Equations (ODEs).
S. E. Fadugba +2 more
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