Towards a general integration algorithm for time-dependent one-dimensional systems of parabolic partial differential equations using the method of lines

Journal of Computational and Applied Mathematics ◽

10.1016/0377-0427(92)90073-7 ◽

1992 ◽

Vol 42 (2) ◽

pp. 187-198 ◽

Author(s):

Ala Al-Rabeh

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Method Of Lines ◽

Time Dependent ◽

Parabolic Partial Differential Equations ◽

Partial Differential ◽

Integration Algorithm ◽

One Dimensional ◽

The Method Of Lines

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Numerical Solution of Parabolic Partial Differential Equations With Two-Point Boundary Conditions by Use of the Method of Lines

Journal of the ACM ◽

10.1145/321406.321417 ◽

1967 ◽

Vol 14 (3) ◽

pp. 549-562 ◽

Author(s):

J. S. Hicks ◽

J. Wei

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Boundary Conditions ◽

Numerical Solution ◽

Method Of Lines ◽

Parabolic Partial Differential Equations ◽

Point Boundary ◽

Partial Differential ◽

The Method Of Lines

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Application of the Method of Lines to Parabolic Partial Differential Equations With Error Estimates

Journal of the ACM ◽

10.1145/321574.321583 ◽

1970 ◽

Vol 17 (2) ◽

pp. 294-302 ◽

Author(s):

A. Zafarullah

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Error Estimates ◽

Method Of Lines ◽

Parabolic Partial Differential Equations ◽

Partial Differential ◽

The Method Of Lines

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A comparison of the method of lines to finite difference techniques in solving time-dependent partial differential equations

Computers & Fluids ◽

10.1016/0045-7930(78)90007-5 ◽

1978 ◽

Vol 6 (2) ◽

pp. 49-70 ◽

Author(s):

L.A. Kurtz ◽

R.E. Smith ◽

C.L. Parks ◽

L.R. Boney

Keyword(s):

Partial Differential Equations ◽

Finite Difference ◽

Differential Equations ◽

Method Of Lines ◽

Time Dependent ◽

Partial Differential ◽

The Method Of Lines ◽

Finite Difference Techniques

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A numerical study of three moving-grid methods for one-dimensional partial differential equations which are based on the method of lines

Journal of Computational Physics ◽

10.1016/0021-9991(90)90148-t ◽

1990 ◽

Vol 89 (2) ◽

pp. 349-388 ◽

Author(s):

R.M Furzeland ◽

J.G Verwer ◽

P.A Zegeling

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Numerical Study ◽

Method Of Lines ◽

Moving Grid ◽

Partial Differential ◽

One Dimensional ◽

The Method Of Lines

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Fitted Numerical Methods for Singularly Perturbed One-Dimensional Parabolic Partial Differential Equations with Small Shifts Arising in the Modelling of Neuronal Variability

Differential Equations and Dynamical Systems ◽

10.1007/s12591-017-0363-9 ◽

2017 ◽

Vol 27 (1-3) ◽

pp. 1-18 ◽

Author(s):

R. Nageshwar Rao ◽

P. Pramod Chakravarthy

Keyword(s):

Partial Differential Equations ◽

Numerical Methods ◽

Differential Equations ◽

Singularly Perturbed ◽

Parabolic Partial Differential Equations ◽

Partial Differential ◽

One Dimensional

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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 ◽

Author(s):

Mikhail Naguib Mikhail

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Method Of Lines ◽

Partial Differential ◽

The Method Of Lines

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RBFs Meshless Method of Lines for the Numerical Solution of Time-Dependent Nonlinear Coupled Partial Differential Equations

Applied Mathematics ◽

10.4236/am.2011.24051 ◽

2011 ◽

Vol 02 (04) ◽

pp. 414-423 ◽

Author(s):

Sirajul Haq ◽

Arshad Hussain ◽

Marjan Uddin

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Numerical Solution ◽

Meshless Method ◽

Method Of Lines ◽

Time Dependent ◽

Partial Differential ◽

Coupled Partial Differential Equations ◽

Meshless Method Of Lines

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The method of lines for the numerical solution of partial differential equations (abstract)

ACM SIGNUM Newsletter ◽

10.1145/1053205.1053207 ◽

1975 ◽

Vol 10 (4) ◽

pp. 5-7 ◽

Author(s):

Niel K. Madsen

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Numerical Solution ◽

Method Of Lines ◽

Partial Differential ◽

The Method Of Lines

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The method of lines for the numerical solution of partial differential equations

10.1145/800207.806406 ◽

1975 ◽

Author(s):

Niel K. Madsen

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Numerical Solution ◽

Method Of Lines ◽

Partial Differential ◽

The Method Of Lines

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On the numerical solution of elliptic partial differential equations by the method of lines

Journal of Computational Physics ◽

10.1016/0021-9991(72)90007-1 ◽

1972 ◽

Vol 9 (3) ◽

pp. 496-527 ◽

Author(s):

D.J Jones ◽

J.C South ◽

E.B Klunker

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Numerical Solution ◽

Method Of Lines ◽

Elliptic Partial Differential Equations ◽

Partial Differential ◽

The Method Of Lines

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