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Galerkin Method for Numerical Solution of Advection-Diffusion Equation with constant coefficients
Published Online : 18 February 2018
Article Views: 56 | Article Download: 36  Full PDF


In the present study, one-dimensional advection–diffusion equation with constant coefficients is solved using Galerkin Method. We give the generlized solution of this equation. Two examples are presented for the numerical solution of this equation and results are compared with exact solution.
Keywords : Univalent function, bi-univalent function, Coeffcient bounds.


[1] Kumar A., Jaiswal D. K., Kumar N., Analytical solutions to one-dimensional advection–diffusion equation with variable coefficients in semi-infinite media , Journal of Hidrology, 330-337, 2010.

[2] Srivastava, R., Flow Through Open Channels, Oxford University Press, 2008.

[3] Bahar E., Gurarslan G., Numerical Solution of Advection-Diffusion Equation Using Operator Splitting Method, International Journal of Engineering & Applied Sciences , 9(4), 76-88, 2017.

[4] Hasanov A., Simultaneous determination of the source terms in a linear hyperbolic problem from the final over determination: weak solution approach, IMA Journal of Applied Mathematics, 74, 1-19, 2008.

[5] Ladyzhenskaya O.A., Boundary Value Problems in Mathematical Physics, Springer-Verlag, 1985.

[6] Li, Q.H., Wang J., Weak Galerkin Finite Element methods for parabolic equations, Numerical Methods for Partial Differential Equations, 29,2004-2024, 2013.

[7] Dedner, A., Madhavan P., Stinner B., Analysis of the discontinuous Galerkin method for elliptic problems on surfaces, IMA Journal of Numerical Analysis, 33, 952-973, 2013.

[8] Huang Y., Li J., Li D., Developing weak Galerkin finite element methods for the wave equation, Numerical Methods for Partial Differential Equation, 33,3,2017.

[9] Sengupta T.K., Talla S.B., Pradhan S.C., Galerkin finite element methods for wave problems, Sadhana, 30, 5, 611–623, 2005.

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