Results 1 to 10 of about 787,248 (251)
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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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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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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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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上海师范大学学报. 自然科学版, 2021 In this paper, we study the spectral collocation method for the initial value problems of ordinary differential equations. Based on Legendre-Gauss points, we propose the spectral collocation method for the initial value problems of first-order and second-
QIAN Yiyun +5 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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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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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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Fuzzy initial value problem [PDF]
Surveys in Mathematics and its Applications, 2015 In this paper, we present the fuzzy solution concept of the initial value problem. After introducing a metric between two fuzzy vectors, we prove that the system of fuzzy equations has unique solution under some condition.
S. Melliani +3 more
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