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In Journals

 

1.              A. G. Bratsos and E. H. Twizell, The solution of the sine Gordon equation using the method of lines, Intern. J. Computer Math., Vol. 61 No. 3-4 (1996), pp. 271-292.

2.              E.H. Twizell, A.G. Bratsos and  J.C. Newby,  A finite-difference method for solving the cubic Schrödinger equation, Math. Comput. Simulation, Vol. 43 No. 1 (1997), pp. 67-75.

3.              A. G. Bratsos, E. H. Twizell, A family of parametric finite-difference methods for the solution of the sine-Gordon equation, Appl. Math. Comput., Vol. 93 (1998), pp. 117-137.

4.              A. G. Bratsos, A. G. and E. H. Twizell, An explicit finite-difference scheme for the solution of the Kadomtsev-Petviashvili equation, Intern. J. Computer Math., Vol.  68 No. 1-2 (1998), pp. 157-187.

5.              A. G. Bratsos, The solution of the Boussinesq equation using the method of lines, Comput. Methods Appl. Mech. Engrg., Vol. 157 No. 1-2 (1998), pp. 33-44.

6.              A. G. Bratsos, A linearized finite-difference method for the solution of the nonlinear cubic Schrödinger Equation, Communications in Applied Analysis, Vol. 4 No. 1 (2000), pp 133-139.

7.              A. G. Bratsos, A parametric scheme for the numerical solution of the Boussinesq equation, J. Appl. Math. Comput., Vol. 8, No. 1 (2001), pp. 45-57.

8.              A. G. Bratsos, A linearized finite-difference scheme for the numerical solution of the nonlinear cubic Schrödinger equation, J. Appl. Math. Comput., Vol. 8 No. 3 (2001), pp. 459-467.

9.              V. D. Tsiantos, T. Schrefl, J. Fidler and A. Bratsos, Cost-effective way to speed up micromagnetic simulations in granular media, Appl. Numer. Math., Vol. 39 No. 2 (2001), pp. 191-204.

10.            A. G. Bratsos, A linearized scheme for the numerical solution of the sine-Gordon equation, Applied Mathematical Sciences, Vol. 1 No. 4 (2002), pp. 405-413.

11.            M. S. Ismail, A. G. Bratsos, A predictor-corrector scheme for the numerical solution of the Boussinesq equation, J. Appl. Math. Comput., Vol. 13 No 1-2 (2003), pp. 11-27.

12.            A. G. Bratsos, Ch. Tsitouras, and D. G. Natsis, Linearized numerical schemes for the Boussinesq equation, Appl. Numer. Anal. Comput. Math., Vol. 2 No. 1 (2005), pp. 34-53.

13.            A. G. Bratsos, On the numerical solution of the nonlinear cubic Schrödinger equation, Intern. J. of Pure and Appl. Math. Sci., Vol. 2 No. 2 (2005), pp. 217-226.

14.            A. G. Bratsos, D. G. Natsis, A global extrapolated procedure for the Boussinesq equation, J. Appl. Math. Comput., Vol. 21 No. 1-2 (2006), pp. 23-43.

15.            A. G. Bratsos, An explicit numerical scheme for the Sine-Gordon equation in 2+1 dimensions, Appl. Numer. Anal. Comput. Math., Vol. 2 No. 2 (2005), pp. 189-211.

16.            A. G. Bratsos, I. Th. Famelis, A. Kollias and Ch. Tsitouras, Phase-Fitted Numerov type models, Appl. Math. Comput., Vol. 184 (1 SPEC. ISS.)  (2007), pp. 23-29.

17.            A. G. Bratsos, An extrapolated linearized numerical scheme for the one-dimensional sine-Gordon equation, Pacific-Asian Journal of Mathematics Vol. 1 No. 2 (2007), pp. 91-102.

18.            A. G. Bratsos, I. Th. Famelis and A. M. Prospathopoulos, A parametric finite-difference method for shallow sea waves, Int. J. Numer. Meth. Fluids, Vol. 53 No. 1 (2007), pp. 129-147.

19.            A. G. Bratsos, The solution of the two-dimensional sine-Gordon equation using the method of lines, J. Comput. Appl. Math., Vol. 206 No. 1 (2006), pp. 251-277.

20.            A. G. Bratsos, A third-order numerical scheme for the two-dimensional sine-Gordon equation, Math. Comput. Simulation, Vol. 76 No 4 (2007) pp. 271-282.

21.            A. G. Bratsos, A modified predictor-corrector scheme for the two-dimensional sine-Gordon equation, Numer. Algorithms, Vol. 43 No. 4 (2006), pp. 295-308.

22.            A. G. Bratsos, A modified explicit numerical scheme for the two-dimensional sine-Gordon equation, Intern. J. Computer Math. Vol. 85 No. 2 (2008), pp. 241-252.

23.            A. G. Bratsos, A second order numerical scheme for the improved Boussinesq equation, Phys. Lettr. A., Vol. 370 No. 2 (2007), pp. 145-147.

24.            A. G. Bratsos, A fourth order numerical scheme for the one-dimensional sine-Gordon equation, Intern. J. Computer Math., Vol. 85 No. 7 (2008), pp. 1083-1095.

25.            A. G. Bratsos, Solitary-wave propagation and interactions for the “good” Boussinesq equation, Intern. J. Computer Math., Vol. 85 No. 9 (2008), pp. 1431-1440.

26.            A. G. Bratsos, A numerical method for the one-dimensional sine-Gordon equation, Numer Methods Partial Differential Eq, Vol. 24 No. 3 (2008), pp. 833-844.

27.            A. G. Bratsos, M. Ehrhardt, I. Th. Famelis, A discrete Adomian decomposition method for discrete nonlinear Schrödinger equations, Appl. Math. Comput. Vol. 197 No. 1 (2008), pp. 190-205.

28.            A. G. Bratsos, A predictor-corrector scheme for the improved Boussinesq equation, Chaos Solitons & Fractals Vol. 40 No. 5 (2009), pp. 2083-2094.

29.            A. G. Bratsos, A second order numerical scheme for the solution of the one-dimensional Boussinesq equation, Numer. Algorithms Vol. 46 No. 1 (2007), pp. 45-58.

30.            A. G. Bratsos, An improved numerical scheme for the sine-Gordon equation in 2+1 dimensions, Int. J. Numer. Meth. Engng. Vol. 75 No. 7 (2008), pp. 787-799.

31.            A. G. Bratsos, On the Numerical Solution of the Klein-Gordon Equation, Numer Methods Partial Differential Eq. Vol. 25 No. 4 (2009), pp. 939-951.

32.            A. G. Bratsos, A note on a paper by A. G. Bratsos, M. Ehrhardt and I. Th. Famelis, Appl. Math. Comput. Vol. 211 (2009), pp. 242–245.

33.            A. G. Bratsos and L. A. Petrakis, A modified Predictor-Corrector scheme for the Klein-Gordon equation, Intern. J. Computer Math. Vol. 87 (2010), pp. 1892-1904.

34.            A. G. Bratsos and L. A. Petrakis, An explicit numerical scheme for the modified Burgers' equation, Numerical Methods in Biomedical Engineering, Vol. 27 (2011), pp. 232-237.

35.            A. G. Bratsos, A modified numerical scheme for the cubic Schrödinger equation, Numer Methods Partial Differential Eq., Vol. 27 No 3 (2011), pp. 608-620.

36.            A. G. Bratsos, A fourth-order numerical scheme for solving the modified Burgers equation, Computers and Mathematics with Applications Vol. 60 (2010), pp. 1393-1400.

37.            A. G. Bratsos, A second order numerical scheme for the Burgers-Huxley equation, International Journal of Computational Mathematics and Numerical Simulation, Vol. 4 No. 2 (2011), pp. 247-257.

38.            A. G. Bratsos, A modified numerical method for the generalized Burgers-Huxley equation, International Journal of Numerical Methods and Applications Vol. 5 No. 1 (2011), pp. 45-55.

39.            A. G. Bratsos, A fourth order improved numerical scheme for the generalized Burgers-Huxley equation, American Journal of Computational Mathematics, Vol. 1 No. 3 (2011), pp. 152-158.

40.            A. G. Bratsos, An improved second-order numerical method for the generalized Burgers-Fisher equation, ANZIAM Journal Vol. 54 No. 3 (2013), pp. 181-199.

41.            A. G. Bratsos and A Q. M. Khaliq, A conservative exponential time differencing method for the nonlinear Schrödinger equation, in: International Journal of Computer Mathematics.

 

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