Results 11 to 20 of about 327,371 (280)

Numerical Solution of the Fredholm Integro-Differential Equations Using High-Order Compact Finite Difference Method [PDF]

open access: yesمجلة التربية والعلم, 2023
This work aims to present a numerical method for solving Fredholm integro-differential equations (FIDE). This work discusses the use of a fourth and sixth-order compact finite difference method (CFDM) based on composite Boole’s rule to solve FIDE.
Surme R. Saber   +2 more
doaj   +1 more source

Sixth-order compact finite difference method for solving KDV-Burger equation in the application of wave propagations [PDF]

open access: yesIranian Journal of Numerical Analysis and Optimization, 2022
Sixth-order compact finite difference method is presented for solving the one-dimensional KdV-Burger equation. First, the given solution domain is discretized using a uniform discretization grid point in a spatial direction. Then, using the Taylor series
K. Koroche, H. Chemeda
doaj   +1 more source

Compact finite difference method to numerically solving a stochastic fractional advection-diffusion equation

open access: yesAdvances in Difference Equations, 2020
In this paper, a stochastic space fractional advection diffusion equation of Itô type with one-dimensional white noise process is presented. The fractional derivative is defined in the sense of Caputo.
N. H. Sweilam   +2 more
doaj   +1 more source

Sixth-order compact finite difference scheme with discrete sine transform for solving Poisson equations with Dirichlet boundary conditions

open access: yesResults in Applied Mathematics, 2021
Compact finite difference methods are very popular for solving differential equations that arise in a wide variety of real-world applications. Despite their popularity, the efficiency of these methods is limited by the need for matrix inversion which is ...
Amanuel Hossiso Gatiso   +2 more
doaj   +1 more source

Numerical Approximation of Generalized Burger’s-Fisher and Generalized Burger’s-Huxley Equation by Compact Finite Difference Method

open access: yesAdvances in Mathematical Physics, 2021
In this work, computational analysis of generalized Burger’s-Fisher and generalized Burger’s-Huxley equation is carried out using the sixth-order compact finite difference method.
Ravneet Kaur   +3 more
doaj   +1 more source

High-order Compact Difference Schemes for the Modified Anomalous Subdiffusion Equation [PDF]

open access: yes, 2015
In this paper, two kinds of high-order compact finite difference schemes for second-order derivative are developed. Then a second-order numerical scheme for Riemann-Liouvile derivative is established based on fractional center difference operator.
Ding, Hengfei, Li, Changpin
core   +1 more source

A Compact High-Order Finite-Difference Method with Optimized Coefficients for 2D Acoustic Wave Equation

open access: yesRemote Sensing, 2023
High-precision finite difference (FD) wavefield simulation is one of the key steps for the successful implementation of full-waveform inversion and reverse time migration. Most explicit FD schemes for solving seismic wave equations are not compact, which
Liang Chen   +5 more
doaj   +1 more source

Compact finite difference method for American option pricing

open access: yesJournal of Computational and Applied Mathematics, 2007
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhao, Jichao   +2 more
openaire   +2 more sources

A parallel compact-TVD method for compressible fluid dynamics employing shared and distributed-memory paradigms [PDF]

open access: yes, 2011
A novel multi-block compact-TVD finite difference method for the simulation of compressible flows is presented. The method combines distributed and shared-memory paradigms to take advantage of the configuration of modern supercomputers that host many ...
Emerson, David   +2 more
core   +1 more source

On solving fractional mobile/immobile equation

open access: yesAdvances in Mechanical Engineering, 2017
In this article, a numerical efficient method for fractional mobile/immobile equation is developed. The presented numerical technique is based on the compact finite difference method.
Hossein Pourbashash   +2 more
doaj   +1 more source

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