Fuzzy transform to approximate solution of two-point boundary value problems
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DOI: 10.1002/mma.3832
Abstract: We present a numerical method based on the fuzzy transform for solving second-order differential equations with boundary conditions. We demonstrate the effectiveness of the method by some examples. Copyright © 2016 John Wiley & Sons,… read more here.
Keywords: solution two; approximate solution; fuzzy transform; transform approximate ... See more keywords
On the existence, uniqueness, and new analytic approximate solution of the modified error function in two‐phase Stefan problems
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DOI: 10.1002/mma.7457
Abstract: This paper provides a new proof of the existence and uniqueness of the solution for a nonlinear boundary value problem (1+δy)y′′+2x(1+γy)y′=0,0 read more here.
Keywords: existence uniqueness; approximate solution; uniqueness new; new analytic ... See more keywords
Lipschitz Continuity of Approximate Solution Mappings to Parametric Generalized Vector Equilibrium Problems
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DOI: 10.1007/s10957-018-1329-y
Abstract: In this paper, we establish Lipschitz continuity of strongly efficient approximate solution mapping to parametric generalized vector equilibrium problems without using monotonicity and any information of the solution mappings. Moreover, we make a new attempt… read more here.
Keywords: efficient approximate; approximate solution; lipschitz continuity; solution mapping ... See more keywords
Approximate solution of singular IVPs of Lane–Emden type and error estimation via advanced Adomian decomposition method
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Applied Mathematics and Computing"
DOI: 10.1007/s12190-020-01444-2
Abstract: This article aims to present a simple and effective method, named as advanced Adomian decomposition method, to attain the approximate solution of singular initial value problems of Lane–Emden type. Also, convergence analysis and error analysis… read more here.
Keywords: approximate solution; error; method; advanced adomian ... See more keywords
Approximate Solution and Analysis of Smoking Epidemic Model with Caputo Fractional Derivatives
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DOI: 10.1007/s40819-018-0543-5
Abstract: In this paper, an epidemic model is presented to describe the dynamics of drugs usage among the adults. The Caputo fractional derivative operator of order $$\phi \in (0, 1]$$ϕ∈(0,1] is employed to obtain the system… read more here.
Keywords: approximate solution; solution analysis; epidemic model; model ... See more keywords
Probabilistic model of dispersed turbulent flow in channels with rough walls
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DOI: 10.1080/02786826.2020.1739617
Abstract: Abstract An equation for the probability density function (PDF) for particle velocity and coordinates in a gas turbulent flow is derived. The system of equations for the first and second moments of particle velocity fluctuations… read more here.
Keywords: particle velocity; approximate solution; velocity; turbulent flow ... See more keywords
A numerical scheme to solve boundary value problems involving singular perturbation
Sign Up to like & getrecommendations! Published in 2018 at "European Journal of Computational Mechanics"
DOI: 10.1080/17797179.2018.1479552
Abstract: ABSTRACT In this study, a numerical method is presented in order to approximately solve singularly perturbed second-order differential equations given with boundary conditions. The method uses the set of monomials whose degrees do not exceed… read more here.
Keywords: approximate solution; numerical scheme; solution; scheme solve ... See more keywords
Approximate solution of generalized inhomogeneous radical quadratic functional equations in 2-Banach spaces
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DOI: 10.1186/s13660-019-1973-2
Abstract: AbstractIn this paper, using Brzdȩk and Ciepliński’s fixed point theorems in a 2-Banach space, we investigate approximate solution for the generalized inhomogeneous radical quadratic functional equation of the form f(ax2+by2)=af(x)+bf(y)+D(x,y),$$f \bigl(\sqrt{ax^{2}+by^{2}} \bigr)=af(x)+bf(y) + D(x,y), $$… read more here.
Keywords: radical quadratic; solution generalized; generalized inhomogeneous; approximate solution ... See more keywords
Analytic Approximate Solution in the Neighborhood of a Moving Singular Point of a Class of Nonlinear Equations
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DOI: 10.3390/axioms11110637
Abstract: The paper considers a class of nonlinear differential equations which are not solvable in quadratures in general case. The author’s technology for solving such equations contains six problems. In this article, the solution to one… read more here.
Keywords: class nonlinear; moving singular; approximate solution; singular point ... See more keywords
A Novel Approach for the Approximate Solution of Wave Problems in Multi-Dimensional Orders with Computational Applications
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DOI: 10.3390/axioms11120665
Abstract: The main goal of this paper is to introduce a new scheme, known as the Aboodh homotopy integral transform method (AHITM), for the approximate solution of wave problems in multi-dimensional orders. The Aboodh integral transform… read more here.
Keywords: solution wave; problems multi; approximate solution; solution ... See more keywords
Dependence of the Analytical Approximate Solution to the Van der Pol Equation on the Perturbation of a Moving Singular Point in the Complex Domain
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DOI: 10.3390/axioms12050465
Abstract: This paper considers a theoretical substantiation of the influence of a perturbation of a moving singular point on the analytical approximate solution to the Van der Pol equation obtained earlier by the author. A priori… read more here.
Keywords: analytical approximate; moving singular; approximate solution; singular point ... See more keywords