Back
 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.

 
 
Top