Results 11 to 20 of about 174,218 (314)

Numerical approximation for integral equations [PDF]

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2004
A numerical algorithm, based on a decomposition technique, is presented for solving a class of nonlinear integral equations. The scheme is shown to be highly accurate, and only few terms are required to obtain accurate computable solutions.
Elias Deeba, Shishen Xie
doaj   +2 more sources

A Novel “Finite Element-Meshfree” Triangular Element Based on Partition of Unity for Acoustic Propagation Problems

open access: yesMathematics, 2023
The accuracy of the conventional finite element (FE) approximation for the analysis of acoustic propagation is always characterized by an intractable numerical dispersion error.
Sina Dang, Gang Wang, Yingbin Chai
doaj   +1 more source

Consistency of Approximation of Bernstein Polynomial-Based Direct Methods for Optimal Control

open access: yesMachines, 2022
Bernstein polynomial approximation of continuous function has a slower rate of convergence compared to other approximation methods. “The fact seems to have precluded any numerical application of Bernstein polynomials from having been made.
Venanzio Cichella   +4 more
doaj   +1 more source

Numerical approximation of nonlinear SPDE’s

open access: yesStochastics and Partial Differential Equations: Analysis and Computations, 2022
AbstractThe numerical analysis of stochastic parabolic partial differential equations of the form $$\begin{aligned} du + A(u)\, dt = f \,dt + g \, dW, \end{aligned}$$ d u
Martin Ondreját   +2 more
openaire   +4 more sources

Numerical approximations of chromatographic models [PDF]

open access: yesNumerical Methods for Partial Differential Equations, 2021
AbstractA numerical scheme based on modified method of characteristics with adjusted advection (MMOCAA) is proposed to approximate the solution of the system liquid chromatography with multi components case. For the case of one component, the method preserves the mass.
Farid Bozorgnia, Sonia Seyed Allaei
openaire   +2 more sources

Frames and Numerical Approximation [PDF]

open access: yesSIAM Review, 2019
Functions of one or more variables are usually approximated with a basis: a complete, linearly-independent system of functions that spans a suitable function space. The topic of this paper is the numerical approximation of functions using the more general notion of frames: that is, complete systems that are generally redundant but provide infinite ...
Adcock, Ben, Huybrechs, Daan
openaire   +4 more sources

Numerical Approximation of Orthogonal Maps [PDF]

open access: yesSIAM Journal on Scientific Computing, 2019
The authors discuss an operator-splitting method in the finite element methodology for the numerical solution of the Dirichlet problem for orthogonal maps. The approach combines a variational principle, the introduction of the associated flow problem, and a time-stepping splitting algorithm.
Alexandre Caboussat   +3 more
openaire   +2 more sources

Numerical solution of Atangana–Baleanu–Caputo time-space fractional diffusion equation

open access: yesArab Journal of Basic and Applied Sciences, 2022
In this article, the time-space fractional diffusion equation is solved by using the fractional operator in Atangana–Baleanu–Caputo (ABC) sense based on the Mittag-Leffler function involving non-singular and non-local kernels.
Saira Siddiqui   +2 more
doaj   +1 more source

Numerical Approximation Method for Solving Differential Equations

open access: yesEurasian Journal of Science and Engineering, 2020
This paper investigates numerical methods for solving differential equation. In this work, the continuous least square method (CLSM) was considered to find the best numerical approximation by solving differential equations.
Salisu Ibrahim
doaj   +1 more source

Representation of Some Ratios of Horn’s Hypergeometric Functions H7 by Continued Fractions

open access: yesAxioms, 2023
The paper deals with the problem of representation of Horn’s hypergeometric functions via continued fractions and branched continued fractions. We construct the formal continued fraction expansions for three ratios of Horn’s hypergeometric functions H7 ...
Tamara Antonova   +3 more
doaj   +1 more source

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