The Numerical Method of Lines: Integration of Partial Differential Equations.

A. C. Hindmarsh; W. E. Schiesser

doi:10.2307/2153182

The Numerical Method of Lines: Integration of Partial Differential Equations.

Mathematics of Computation ◽

10.2307/2153182 ◽

1993 ◽

Vol 60 (201) ◽

pp. 433 ◽

Cited By ~ 2

Author(s):

A. C. Hindmarsh ◽

W. E. Schiesser

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Numerical Method ◽

Method Of Lines ◽

Partial Differential

Download Full-text

SPLINE APPROXIMATIONS IN NUMERICAL METHOD OF LINES SOLUTION OF FIRST-ORDER HYPERBOLIC PARTIAL DIFFERENTIAL EQUATIONS**Project Supported by the Science Fund of the Chinese Academy of Science

Numerical Mathematics and Applications ◽

10.1016/b978-0-444-70067-4.50026-1 ◽

1986 ◽

pp. 163-170 ◽

Cited By ~ 1

Author(s):

S.S. Hu ◽

X.M. Shao

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Numerical Method ◽

Method Of Lines ◽

Hyperbolic Partial Differential Equations ◽

Partial Differential ◽

First Order

Download Full-text

NUMERICAL METHOD OF LINES FOR FIRST ORDER PARTIAL DIFFERENTIAL EQUATIONS WITH DEVIATED VARIABLES

Demonstratio Mathematica ◽

10.1515/dema-2005-0126 ◽

2005 ◽

Vol 38 (1) ◽

Author(s):

Wojciech Czernous

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Numerical Method ◽

Method Of Lines ◽

Partial Differential ◽

First Order

Download Full-text

Pathwise convergence of a numerical method for stochastic partial differential equations with correlated noise and local Lipschitz condition

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2017.04.012 ◽

2017 ◽

Vol 323 ◽

pp. 123-135 ◽

Cited By ~ 1

Author(s):

Minoo Kamrani ◽

Dirk Blömker

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Numerical Method ◽

Lipschitz Condition ◽

Stochastic Partial Differential Equations ◽

Correlated Noise ◽

Partial Differential ◽

Local Lipschitz Condition

Download Full-text

New numerical method for partial differential equations. 1: Application to the diffusion equation

International Journal for Numerical Methods in Fluids ◽

10.1002/fld.1650180303 ◽

1994 ◽

Vol 18 (3) ◽

pp. 257-271

Author(s):

P. Hatzikonstantinou

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Diffusion Equation ◽

Numerical Method ◽

Partial Differential

Download Full-text

A numerical method for delayed partial differential equations describing infectious diseases

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2016.09.024 ◽

2016 ◽

Vol 72 (11) ◽

pp. 2741-2750 ◽

Cited By ~ 18

Author(s):

Khalid Hattaf ◽

Noura Yousfi

Keyword(s):

Partial Differential Equations ◽

Infectious Diseases ◽

Differential Equations ◽

Numerical Method ◽

Partial Differential

Download Full-text

A fast implicit iterative numerical method for solving multidimensional partial differential equations

10.2514/6.1977-644 ◽

1977 ◽

Cited By ~ 1

Author(s):

W. HELLIWELL

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Numerical Method ◽

Partial Differential

Download Full-text

Extension of Atangana-Seda numerical method to partial differential equations with integer and non-integer order

Alexandria Engineering Journal ◽

10.1016/j.aej.2020.02.031 ◽

2020 ◽

Vol 59 (4) ◽

pp. 2355-2370

Author(s):

Abdon Atangana ◽

Seda İğret Araz

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Numerical Method ◽

Partial Differential ◽

Integer Order

Download Full-text

Numerical method of estimating the blow-up time and rate of the solution of ordinary differential equations—An application to the blow-up problems of partial differential equations

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2005.04.069 ◽

2006 ◽

Vol 193 (2) ◽

pp. 614-637 ◽

Cited By ~ 15

Author(s):

Chiaki Hirota ◽

Kazufumi Ozawa

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Ordinary Differential Equations ◽

Numerical Method ◽

Blow Up ◽

Partial Differential

Download Full-text

On the validity and stability of the method of lines for the solution of partial differential equations

Applied Mathematics and Computation ◽

10.1016/0096-3003(87)90038-5 ◽

1987 ◽

Vol 22 (2-3) ◽

pp. 89-98 ◽

Cited By ~ 7

Author(s):

Mikhail Naguib Mikhail

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Method Of Lines ◽

Partial Differential ◽

The Method Of Lines

Download Full-text

APPLICATION OF SBA NUMERICAL METHOD FOR SOLUTIONS OF THE PROBLEMS OF NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS

Far East Journal of Mathematical Sciences (FJMS) ◽

10.17654/ms128010015 ◽

2020 ◽

Vol 128 (1) ◽

pp. 15-26

Author(s):

Bakari Abbo ◽

Rasmane Yaro ◽

Youssouf Pare

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Numerical Method ◽

Nonlinear Partial Differential Equations ◽

Partial Differential

Download Full-text