Results 261 to 270 of about 494,879 (330)

A new and efficient numerical method based on shifted fractional‐order Jacobi operational matrices for solving some classes of two‐dimensional nonlinear fractional integral equations

Numerical Methods for Partial Differential Equations, 2021
The aim of this paper is to present a new and efficient numerical method to approximate the solutions of two‐dimensional nonlinear fractional Fredholm and Volterra integral equations.
K. Maleknejad, J. Rashidinia, Tahereh Eftekhari   +2 more
semanticscholar   +1 more source

A numerical method based on hybrid orthonormal Bernstein and improved block‐pulse functions for solving Volterra–Fredholm integral equations

Numerical Methods for Partial Differential Equations, 2022
This paper deals with the numerical solution of the integral equations of linear second kind Volterra–Fredholm. These integral equations are commonly used in engineering and mathematical physics to solve many of the problems.
M. Ramadan, H. Osheba, Adel R. Hadhoud
semanticscholar   +1 more source

Path integral numerical methods for evolution equations

Numerical Methods for Partial Differential Equations, 1990
AbstractA universal method for representing solutions of the initial value problem ut = −2πiDu is presented for a large class of pseudo‐differential operators. The representations take the form of a path integral‐like operator. Three numerical approaches for evaluating these operators are treated. Practical interest in such universal methods depends on
Willard L. Miranker, Andrew Winkler
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A Numerical Method for Proportional Delay Volterra Integral Equations

International Journal of Applied and Computational Mathematics, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Fast Numerical Contour Integral Method for Fractional Diffusion Equations

Journal of Scientific Computing, 2015
This paper is concerned with the numerical solution of one- and two-dimensional space-fractional diffusion equations. After applying spatial discretization by appropriate finite difference schemes, large and structured systems of ordinary differential equations are obtained.
Pang, Hong-Kui, Sun, Hai-Wei
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Physics‐based preconditioning of Jacobian‐free Newton–Krylov solver for Navier–Stokes equations using nodal integral method

International Journal for Numerical Methods in Fluids, 2023
The nodal integral methods (NIMs) have found widespread use in the nuclear industry for neutron transport problems due to their high accuracy. However, despite considerable development, these methods have limited acceptability among the fluid flow ...
Nadeem Ahmed, Suneet Singh, Niteen Kumar
semanticscholar   +1 more source

Numerical integration methods for stochastic wave function equations

Computer Physics Communications, 2000
Four methods for numerically solving stochastic differential equations (SDEs) are compared for two examples from quantum mechanics of open systems. The methods examined are the Euler-Maruyama scheme, a stochastic Heun scheme, a stochastic Runge-Kutta order 4 scheme, and an explicit order 2 weak scheme due to Platen [cf. \textit{P. E.
Breuer, Heinz-Peter, Dorner, Uwe, Petruccione, Francesco   +2 more
openaire   +3 more sources

Numerical implementation of nonlinear system of fractional Volterra integral–differential equations by Legendre wavelet method and error estimation

Numerical Methods for Partial Differential Equations, 2020
In the current study, a numerical scheme for solving the nonlinear system of fractional Volterra integro‐differential equations via Legendre wavelet is proposed. The Legendre wavelet operational matrix of fractional integration is derived and utilized to
L. Shen, Shuai Zhu, Bingchen Liu, Zirui Zhang, Yuanda Cui   +4 more
semanticscholar   +1 more source

Numerical methods for nonlinear singular Volterra integral equations

AIP Conference Proceedings, 2012
This work is concerned with the numerical solution of two related nonlinear singular Volterra integral equations which arise in connection with a heat transfer problem. We consider product integration and collocation methods for both equations and several numerical results are presented illustrating the performance of these methods.
Teresa Diogo, Magda Rebelo
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Direct Numerical Methods for Integral Equations in Elasticity Theory

Communications to SIMAI Congress, 2006
We outline direct numerical methods for solving problems in elasticity theory, formulated via the Muskhelishvili integral equation.
openaire   +3 more sources