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Approximating Solution Structure

open access: yes, 2007
Contains fulltext : 55507.pdf (Publisher’s version ) (Open Access)
van Rooij, Iris   +3 more
openaire   +5 more sources

Volterra integral equations and fractional calculus: Do neighbouring solutions intersect? [PDF]

open access: yes, 2012
This is the author's PDF version of an article published in Journal of Integral Equations and Applications. The definitive version is available at rmmc.asu.edu/jie/jie.html.This journal article considers the question of whether or not the solutions to ...
Diethelm, Kai, Ford, Neville J.
core   +1 more source

On the Analysis of Regularized Fuzzy Systems of Uncertain Differential Equations

open access: yesEntropy, 2023
This article analyzes a regularized set of fuzzy differential equations with respect to an uncertain parameter. We provide sufficient conditions for the correctness of a new regularization scheme.
Anatoliy Martynyuk   +3 more
doaj   +1 more source

Solution of Bernstein's Approximation Problem [PDF]

open access: yesProceedings of the American Mathematical Society, 1953
In his famous monograph on approximation theory [2], S. Bernstein initiated the study of the closure properties of sets of functions {unK(u) }I on the real line. It is supposed that K(u) is continuous on (, o ) and that unK(u) vanishes at u = ? o for each value of n.
openaire   +2 more sources

Numerical Solutions for the Time and Space Fractional Nonlinear Partial Differential Equations

open access: yesJournal of Applied Mathematics, 2013
We implement relatively analytical techniques, the homotopy perturbation method, and variational iteration method to find the approximate solutions for time and space fractional Benjamin-Bona Mahony equation. The fractional derivatives are described in
Khaled A. Gepreel   +2 more
doaj   +1 more source

Branching of the Falkner-Skan solutions for λ < 0 [PDF]

open access: yes, 1982
The Falkner-Skan equation f'" + ff" + λ(1 - f'^2) = 0, f(0) = f'(0) = 0, is discussed for λ < 0. Two types of problems, one with f'(∞) = 1 and another with f'(∞) = -1, are considered. For λ = 0- a close relation between these two types is found. For λ < -
Oskam, B.,, Veldman, A.E.P.,
core   +1 more source

Application of the Homotopy Analysis Method for Solving the Variable Coefficient KdV-Burgers Equation

open access: yesAbstract and Applied Analysis, 2014
The homotopy analysis method is applied to solve the variable coefficient KdV-Burgers equation. With the aid of generalized elliptic method and Fourier’s transform method, the approximate solutions of double periodic form are obtained.
Dianchen Lu, Jie Liu
doaj   +1 more source

Approximation of Bessel Functions by the Method of Constructing Multilayer Solutions of Differential Equations

open access: yesСовременные информационные технологии и IT-образование, 2020
The construction of multilayer approximate solutions of differential equations based on classical numerical methods is used to approximate special functions as solutions of the corresponding differential equations.
Alexander Vasilyev   +2 more
doaj   +1 more source

Series Solutions of High-Dimensional Fractional Differential Equations

open access: yesMathematics, 2021
In the present paper, the series solutions and the approximate solutions of the time–space fractional differential equations are obtained using two different analytical methods.
Jing Chang, Jin Zhang, Ming Cai
doaj   +1 more source

Consistency of a method of moments estimator based on numerical solutions to asset pricing models [PDF]

open access: yes, 1993
This paper considers the properties of estimators based on numerical solutions to a class of economic models. In particular, the numerical methods discussed are those applied in the solution of linear integral equations, specifically Fredholm equations ...
Burnside, C., Craig Burnside, A
core   +1 more source

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