JAMP  Vol.2 No.2 , January 2014
Method of Lines for Third Order Partial Differential Equations
ABSTRACT

The method of lines is applied to the boundary-value problem for third order partial differential equation. Explicit expression and order of convergence for the approximate solution are obtained.


Cite this paper
Kudu, M. and Amirali, I. (2014) Method of Lines for Third Order Partial Differential Equations. Journal of Applied Mathematics and Physics, 2, 33-36. doi: 10.4236/jamp.2014.22005.
References
[1]   A. I. Kozhanov, “Mixed Boundary Value Problem for Some Classes of Third Order Differential Equations,” Matematicheskii Sbornik, Vol. 118 (160), No. 4 (8), 1982, pp. 504-522. (in Russian)

[2]   A. I. Kozhanov, “Mixed Problem for One Class of Quasilinear Equation of Third Order,” In: Boundary Value Problems for Nonlinear Equations, Novosibirsk, 1982, pp. 118-128. (in Russian)

[3]   S. A. Gabov and A. G. Sveshnikov, “Problems of the Dynamics of Stratified Fluids,” Nauka, Moscow, 1986, p. 288. (in Russian)

[4]   G. M. Amiraliyev and P. Okcu, “Error Estimates for Differential Difference Schemes to Pseudo-Parabolic Initial-Boundary Value Problem with Delay,” Computers & Mathematics with Applications, Vol. 18, No. 3, 2013, pp. 283-292.

[5]   S. B. Nemchinov, “On the Finite Difference Method to the Elliptic Boundary Value Problems,” Journal of Computational and Applied Mathematics, Vol. 2, 1962, pp. 418-436. (in Russian)

[6]   A. A. Samarskii, “The Theory of Difference Schemes,” Marcel Dekker, New York, 2001.

 
 
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