A reduced-order extrapolated model based on splitting implicit finite difference scheme and proper orthogonal decomposition for the fourth-order nonlinear Rosenau equation

Orthogonal Decomposition ◽

Reduced Order ◽

Implicit Finite Difference ◽

Rosenau Equation ◽

Proper Orthogonal

On a fourth order accurate implicit finite difference scheme for hyperbolic conservation laws. I. Nonstiff strongly dynamic problems

Mathematics of Computation ◽

10.1090/s0025-5718-1981-0606501-1 ◽

1981 ◽

Vol 36 (154) ◽

pp. 353-353

Author(s):

Amiram Harten ◽

Hillel Tal-Ezer

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Conservation Laws ◽

Fourth Order ◽

Hyperbolic Conservation Laws ◽

Dynamic Problems ◽

Hyperbolic Conservation ◽

On a fourth order accurate implicit finite difference scheme for hyperbolic conservation laws. II. Five-point schemes

Journal of Computational Physics ◽

10.1016/0021-9991(81)90100-5 ◽

1981 ◽

Vol 41 (2) ◽

pp. 329-356 ◽

Cited By ~ 9

Author(s):

A Harten ◽

H Tal-Ezer

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Conservation Laws ◽

Fourth Order ◽

Hyperbolic Conservation Laws ◽

Hyperbolic Conservation ◽

On a Fourth Order Accurate Implicit Finite Difference Scheme for Hyperbolic Conservation Laws: I. Nonstiff Strongly Dynamic Problems

Mathematics of Computation ◽

10.2307/2007647 ◽

1981 ◽

Vol 36 (154) ◽

pp. 353 ◽

Cited By ~ 1

Author(s):

Amiram Harten ◽

Hillel Tal-Ezer

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Conservation Laws ◽

Fourth Order ◽

Hyperbolic Conservation Laws ◽

Dynamic Problems ◽

Hyperbolic Conservation ◽

Application of a semi-implicit finite difference scheme to heat generation in explosives

Journal of Computational Physics ◽

10.1016/0021-9991(86)90221-4 ◽

1986 ◽

Vol 65 (2) ◽

pp. 486-490 ◽

Cited By ~ 1

Author(s):

John W Sheldon

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Heat Generation ◽

A three-level average implicit finite difference scheme to solve equation obtained by coupling the Rosenau–KdV equation and the Rosenau–RLW equation

Applied Mathematics and Computation ◽

10.1016/j.amc.2014.07.075 ◽

2014 ◽

Vol 245 ◽

pp. 289-304 ◽

Cited By ~ 15

Author(s):

B. Wongsaijai ◽

K. Poochinapan

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Kdv Equation ◽

Rlw Equation ◽

An optimizing finite difference scheme based on proper orthogonal decomposition for CVD equations

International Journal for Numerical Methods in Biomedical Engineering ◽

10.1002/cnm.1295 ◽

2010 ◽

Vol 27 (1) ◽

pp. 78-94 ◽

Cited By ~ 23

Author(s):

Juan Du ◽

Jiang Zhu ◽

Zhendong Luo ◽

I. M. Navon

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Proper Orthogonal Decomposition ◽

Orthogonal Decomposition ◽

Proper Orthogonal

A fully implicit finite difference scheme based on extended cubic B-splines for time fractional advection–diffusion equation

Advances in Difference Equations ◽

10.1186/s13662-018-1537-7 ◽

2018 ◽

Vol 2018 (1) ◽

Cited By ~ 12

Author(s):

Syed Tauseef Mohyud-Din ◽

Tayyaba Akram ◽

Muhammad Abbas ◽

Ahmad Izani Ismail ◽

Norhashidah H. M. Ali

Keyword(s):

Finite Difference ◽

Diffusion Equation ◽

Difference Scheme ◽

B Splines ◽

Fully Implicit ◽

Advection Diffusion Equation ◽

Advection Diffusion ◽

Implicit Finite Difference Scheme for the Magnetic Induction Equation

Series in Contemporary Applied Mathematics - Hyperbolic Problems ◽

10.1142/9789814417099_0047 ◽

2012 ◽

pp. 478-485

Author(s):

Ujjwal Koley

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Magnetic Induction ◽

Induction Equation ◽

Implicit Finite Difference ◽

Magnetic Induction Equation

An Implicit Finite Difference Scheme for Space-Time Fractional Partial Differential Equation

Operations Research and Fuzziology ◽

10.12677/orf.2013.32002 ◽

2013 ◽

Vol 03 (02) ◽

pp. 7-14

Author(s):

阳张

Keyword(s):

Differential Equation ◽

Partial Differential Equation ◽

Finite Difference ◽

Difference Scheme ◽

Space Time ◽

Fractional Partial Differential Equation ◽

Partial Differential ◽

Numerical solutions of coupled Burgers’ equations by an implicit finite-difference scheme

AIP Advances ◽

10.1063/1.4820355 ◽

2013 ◽

Vol 3 (8) ◽

pp. 082131 ◽

Cited By ~ 13

Author(s):

Vineet K. Srivastava ◽

Sarita Singh ◽

Mukesh K. Awasthi

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Numerical Solutions ◽

Burgers Equations ◽