Numerical solution of one dimensional contaminant transport equation with variable coefficient (temporal) by using Haar wavelet
نویسندگان
چکیده
In the present paper Haar wavelet method is implemented on advectiondispersion equation representing one dimensional contaminant transport through a porous medium. Non uniform flow is considered by assuming velocity and dispersion varying with time as an exponentially increasing function. Expressing the Haar wavelets in advection-dispersion equation into Haar series provides the main advantage in the existing method where the simplicity of the Haar wavelet is preserved. The obtained numerical results are compared with the exact solution of advection-dispersion equation with constants coefficients as there are very few analytical solutions with the variable coefficients. The computations are carried out with the aid of the MatLab program. It is concluded that Haar wavelet method is easy, efficient and convenient.
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