نتایج جستجو برای: adams bashforth

تعداد نتایج: 6960  

Journal: :J. Computational Applied Mathematics 2013
Marcus J. Grote Teodora Mitkova

Locally refined meshes impose severe stability constraints on explicit time-stepping methods for the numerical simulation of time dependent wave phenomena. Local time-stepping methods overcome that bottleneck by using smaller time-steps precisely where the smallest elements in the mesh are located. Starting from classical Adams-Bashforth multi-step methods, local time-stepping methods of arbitr...

2012
MATTHIAS KORCH

The solution of initial value problems of large systems of ordinary differential equations (ODEs) is computationally intensive and demands for efficient parallel solution techniques that take into account the complex architectures of modern parallel computer systems. This article discusses implementation techniques suitable for ODE systems with a special coupling structure, called limited acces...

Journal: :J. Comput. Physics 2014
Yong Li Catalin Trenchea

The Robert-Asselin (RA) time filter combined with leapfrog scheme is widely used in numerical models of weather and climate. It successfully suppresses the spurious computational mode associated with the leapfrog method, but it also weakly dampens the physical mode and degrades the numerical accuracy. The Robert-Asselin-Williams (RAW) time filter is a modification of the RA filter that reduces ...

Journal: :Journal of Taibah University for Science 2021

In this paper, we investigate a (discretization) Caputo fractional glucose-insulin model qualitatively with incommensurate orders that appear in Bergman's minimal model. After intravenous tolerance testing, the is used to characterize blood insulin and glucose metabolism. We also prove presented possesses existence, uniqueness, non-negative, boundedness solution. proceed systematical studies on...

Journal: :Pramana 2022

In this paper, we propose a mathematical study to simulate the dynamics of alkali–silica reaction (ASR) by using Caputo fractional derivative. We solve non-linear fractional-order system containing six differential equations understand ASR. For proving existence unique solution, use some recent novel properties Mittag–Leffler function along with fixed point theory. The stability proposed is als...

Journal: :Journal of Applied Mathematics and Computing 2022

In this manuscript, we have analyzed a new time non-integer order smoking model endowed with Caputo fractional type derivative operator. The is composed of four compartmental agents various smokers named as potential smoker, Light Smoker and Quit smoker. first attempt about the qualitative study considered problem along existing result derivation unique solution by application fixed point theor...

Journal: :International journal of multidiciplinaries 2022

In recent years Atangana and Baleanu proposed a new fractional derivative with non-singular non-local kernel, this paper formulate fragmentary request numerical TB model AtanganaBaleanu (AB derivative). We figured the basic reproduction number ( R0 ) assessment of boundary dependent on genuine information Khyber Pakhtunkhwa Pakistan, Initially we present fundamental properties model, existence ...

Journal: :Fractal and fractional 2023

In this study, we explore a recent biological model created to analyze the behavior of cancer cells by administering dose drug containing anti-PD-L1 and IL-10 with Caputo Atangana–Baleanu derivative in sense (ABC). Using order examine stability non-linear system, are able demonstrate that it is existent unique, introduce several numeric data obtained for fractional values MATLAB using Adams–Bas...

2012
WENBIN CHEN DONG SUN XIAOMING WANG

We propose and study two second-order in time implicit-explicit (IMEX) methods for the coupled Stokes-Darcy system that governs flows in karst aquifers. The first is a combination of a second-order backward differentiation formula and the second-order Gear’s extrapolation approach. The second is a combination of the second-order Adams-Moulton and second-order Adams-Bashforth methods. Both algor...

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