Results 1 to 10 of about 10,073 (117)
Numerical approximation for integral equations [PDF]
International 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
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Numerical Approximations for a Nonlocal Evolution Equation [PDF]
SIAM Journal on Numerical Analysis, 2011 In this paper we study numerical approximations of continuous solutions to the nonlocal p-Laplacian type diffusion equation, $u_t (t,x) = \int_{\Omega} J(x-y)|u(t,y) - u(t,x)|^{p-2}(u(t,y) - u(t,x)) \, dy$. First, we find that a semidiscretization in space of this problem gives rise to an ODE system whose solutions converge uniformly to the continuous ...
Julio D Rossi, Mayte Pérez-Llanos
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Mathematics, 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
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Numerical approximation of nonlinear SPDE’s
Stochastics and Partial Differential Equations: Analysis and Computations, 2022 Abstract The numerical analysis of stochastic parabolic partial differential equations of the form $$\begin{aligned} du + A(u)\, dt = f \,dt + g \, dW, \end{aligned}$$
Martin Ondreját +2 more
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Numerical approximations of chromatographic models [PDF]
Numerical 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
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Frames and Numerical Approximation [PDF]
SIAM 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
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Consistency of Approximation of Bernstein Polynomial-Based Direct Methods for Optimal Control
Machines, 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
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Numerical Approximation of Orthogonal Maps [PDF]
SIAM Journal on Scientific Computing, 2019 Orthogonal maps are the solutions of the mathematical model of paper-folding, also called the origami problem. They consist of a system of first-order fully nonlinear equations involving the gradient of the solution. The Dirichlet problem for orthogonal maps is considered here.
Alexandre Caboussat +3 more
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Numerical solution of Atangana–Baleanu–Caputo time-space fractional diffusion equation
Arab 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
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Numerical Approximation Method for Solving Differential Equations
Eurasian 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
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