Results 271 to 280 of about 1,089,385 (313)

Exact finite difference and non-standard finite difference schemes for

Journal of Difference Equations and Applications, 2012
Exact finite difference schemes and non-standard finite difference schemes are constructed for the first-order differential equation , for and . In particular, we show that the central finite difference scheme is an exact scheme for the differential equation .
Lih-Ing Wu Roeger, Ronald E. Mickens
openaire   +1 more source

A compact finite difference scheme for fractional Black-Scholes option pricing model

, 2021
P. Roul, V. P. Goura
semanticscholar   +1 more source

A fully discrete positivity-preserving and energy-dissipative finite difference scheme for Poisson–Nernst–Planck equations

Numerische Mathematik, 2020
Jingwei Hu, Xiaodong Huang
semanticscholar   +1 more source

Upwind compact finite difference schemes

Journal of Computational Physics, 1985
It was shown by \textit{M. Ciment}, \textit{S. H. Leventhal}, and \textit{B. C. Weinberg} [J. Comput. Phys. 28, 135-166 (1978; Zbl 0393.65038)] that the standard compact finite difference scheme may break down in convection dominated problems. An upwinding of the method, which maintains the fourth order accuracy, is suggested and favorable numerical ...
openaire   +1 more source

Finite difference scheme for variational inequalities

Journal of Optimization Theory and Applications, 1996
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Al-Said, E. A., Noor, M. A., Khalifa, A. K.   +2 more
openaire   +1 more source

General derivative approximations for finite different schemes

International Journal for Numerical Methods in Engineering, 1983
AbstractA general expression for finite difference approximations for all derivatives up to the (N − 1)th order on a finite difference mesh with N‐nodes is established. The mesh may be non‐uniform and the derivative evaluated at any of the N‐nodes. An estimate for the truncation error is obtained and shown to depend on the nonlinearity of the mesh as ...
openaire   +1 more source

A new stable finite difference scheme and its convergence for time-delayed singularly perturbed parabolic PDEs

Computational and Applied Mathematics, 2020
Pramod Chakravarthy Podila, Kamalesh Kumar   +1 more
semanticscholar   +1 more source

A conservative compact finite difference scheme for the coupled Schrödinger-KdV equations

Advances in Computational Mathematics, 2020
Shusen Xie, Su-Cheol Yi
semanticscholar   +1 more source

AN INTRODUCTION TO NONSTANDARD FINITE DIFFERENCE SCHEMES

Journal of Computational Acoustics, 1999
Nonstandard finite difference schemes offer the potential for either constructing exact discrete models of differential equations or obtaining discrete models that do not have the elementary numerical instabilities. While the general laws for constructing such schemes are not precisely known at the present time, a number of important rules have been ...
openaire   +2 more sources

Monotone Finite-Difference Scheme Preserving High Accuracy in Regions of Shock Influence

Doklady. Mathematics, 2018
N. A. Zyuzina, O. Kovyrkina, V. Ostapenko   +2 more
semanticscholar   +1 more source