Moghaderi, Hamid; Dehghan, Mehdi Mixed two-grid finite difference methods for solving one-dimensional and two-dimensional Fitzhugh-Nagumo equations. (English) Zbl 1380.65168 Math. Methods Appl. Sci. 40, No. 4, 1170-1200 (2017). Reviewer: Ivan Secrieru (Chişinău) MSC: 65M06 65M15 65M55 × Cite Format Result Cite Review PDF Full Text: DOI
Kazem, Saeed; Chadwick, Edmund; Hatam, Ali; Dehghan, Mehdi Using generating functions to convert an implicit \((3,3)\) finite difference method to an explicit form on diffusion equation with different boundary conditions. (English) Zbl 1348.65116 Numer. Algorithms 71, No. 4, 827-854 (2016). Reviewer: Murli Gupta (Washington, D. C.) MSC: 65M06 35K05 65M12 × Cite Format Result Cite Review PDF Full Text: DOI
Moghaderi, Hamid; Dehghan, Mehdi A multigrid compact finite difference method for solving the one-dimensional nonlinear sine-Gordon equation. (English) Zbl 1335.35219 Math. Methods Appl. Sci. 38, No. 17, 3901-3922 (2015). MSC: 35Q53 65M06 65M55 65F50 × Cite Format Result Cite Review PDF Full Text: DOI
Rashedi, Kamal; Adibi, Hojatollah; Dehghan, Mehdi Determination of space-time-dependent heat source in a parabolic inverse problem via the Ritz-Galerkin technique. (English) Zbl 1321.65146 Inverse Probl. Sci. Eng. 22, No. 7, 1077-1108 (2014). MSC: 65M32 65M60 35R30 35K05 35K20 × Cite Format Result Cite Review PDF Full Text: DOI
Rashedi, Kamal; Adibi, Hojatollah; Dehghan, Mehdi Application of the Ritz-Galerkin method for recovering the spacewise-coefficients in the wave equation. (English) Zbl 1342.65208 Comput. Math. Appl. 65, No. 12, 1990-2008 (2013). MSC: 65N20 35L05 × Cite Format Result Cite Review PDF Full Text: DOI
Saadatmandi, Abbas; Dehghan, Mehdi A method based on the tau approach for the identification of a time-dependent coefficient in the heat equation subject to an extra measurement. (English) Zbl 1428.93039 J. Vib. Control 18, No. 8, 1125-1132 (2012). MSC: 93B30 42C10 × Cite Format Result Cite Review PDF Full Text: DOI
Lakestani, Mehrdad; Dehghan, Mehdi The use of Chebyshev cardinal functions for the solution of a partial differential equation with an unknown time-dependent coefficient subject to an extra measurement. (English) Zbl 1200.65076 J. Comput. Appl. Math. 235, No. 3, 669-678 (2010). MSC: 65M32 35K05 35R30 65M70 × Cite Format Result Cite Review PDF Full Text: DOI
Mohebbi, Akbar; Dehghan, Mehdi High-order solution of one-dimensional sine-Gordon equation using compact finite difference and DIRKN methods. (English) Zbl 1190.65126 Math. Comput. Modelling 51, No. 5-6, 537-549 (2010). MSC: 65M06 × Cite Format Result Cite Review PDF Full Text: DOI
Dehghan, Mehdi; Mohebbi, Akbar; Asgari, Zohreh Fourth-order compact solution of the nonlinear Klein-Gordon equation. (English) Zbl 1180.65114 Numer. Algorithms 52, No. 4, 523-540 (2009). MSC: 65M20 65M06 65L06 65M12 35Q53 × Cite Format Result Cite Review PDF Full Text: DOI
Liao, Wenyuan; Dehghan, Mehdi; Mohebbi, Akbar Direct numerical method for an inverse problem of a parabolic partial differential equation. (English) Zbl 1173.65059 J. Comput. Appl. Math. 232, No. 2, 351-360 (2009). MSC: 65M32 35K05 35R30 65M06 × Cite Format Result Cite Review PDF Full Text: DOI