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Approximate solution of inhomogeneous fractional differential equation
Advances in Nonlinear Analysis, 2012 In this paper, we study the stability of a class of inhomogeneous fractional differential equations involving Caputo derivative. The approximate solutions have been studied.
Dutta Biju K., Arora Laxmi K.
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Solution of Bernstein's Approximation Problem [PDF]
Proceedings 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.
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An approximate solution for the time-fractional diffusion equation
Journal of Innovative Applied Mathematics and Computational Sciences, 2022 In this paper, a numerical method based on a finite difference scheme is proposed for solving the time-fractional diffusion equation (TFDE). The TFDE is obtained from the standard diffusion equation by replacing the first-order time derivative with ...
Sayed Ali Ahmad Mosavi
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Approximating Solution Structure
, 2007 Contains fulltext : 55507.pdf (Publisher’s version ) (Open Access)
van Rooij, Iris +3 more
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Journal of King Saud University: Engineering Sciences, 2019 In this paper an approximate analytical solution for the Frank-Kamenetskii equation modeling thermal ignition without the depletion of the combustibles in a spherical annulus and non-isothermal zero order reaction in spherical catalyst particle is ...
Moustafa Aly Soliman
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Vietnam Journal of Mechanics, 2004 Second approximate solution of a second order differential equation with slowly varying coefficients and damping is obtained by Krylov-Bogoliubov-Mitropolskii method. The method is illustrated by an example.
Roy K. C., Shamsul Alam M.
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Approximate Solution of Schrodinger Equation to Diatomic Molecule for Harmonic Oscillator
UMYU Scientifica Journal, 2023 This study has described the approximate solution of Schrodinger equation to diatomic molecule for harmonic oscillator. The solution procedure is developed by the Power series method and Newton’s second law.
Alhaji Tahir, Bukar Hassan
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Axioms, 2023 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.
Victor Orlov
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The Approximate Solution of Some Plane Boundary Value Problems of the Moment Theory of Elasticity
Advances in Mathematical Physics, 2016 We consider a two-dimensional system of differential equations of the moment theory of elasticity. The general solution of this system is represented by two arbitrary harmonic functions and solution of the Helmholtz equation.
Roman Janjgava
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Approximate Coalgebra Homomorphisms and Approximate Solutions
, 2020 Terminal coalgebras $$\nu F$$ of finitary endofunctors F on categories called strongly lfp are proved to carry a canonical ultrametric on their underlying sets. The subspace formed by the initial algebra $$\mu F$$ has the property that for every coalgebra A we obtain its unique homomorphism into $$\nu F$$ as a limit of a Cauchy sequence of morphisms ...
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