Numerical Solution of Mixed Problem of Parabolic Equation with an Integral Conditions by using Finite Difference and Orthogonal Function Approximation
Mathematica Moravica, Tome 16 (2012) no. 2.

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In this work the combined finite difference and orthogonal function approximation methods have been proposed for the numerical solution of the one-dimensional parabolic equation with two integrals conditions. The time variable is approximated using a finite difference scheme. But the orthogonal function approximation is employed for discretizing the space variable by using orthogonal cosine function.
Mots-clés : Parabolic Equation, Finite Difference, Orthogonal Function, Spectral Methods, Mixed Problem, Integral Condition 
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     author = {Oussaeif Taki-Eddine and Bouziani Abdelfatah and Naoui Gattal},
     title = {Numerical {Solution} of {Mixed} {Problem} of {Parabolic} {Equation} with an {Integral} {Conditions} by using {Finite} {Difference} and {Orthogonal} {Function} {Approximation}},
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Oussaeif Taki-Eddine; Bouziani Abdelfatah; Naoui Gattal. Numerical Solution of Mixed Problem of Parabolic Equation with an Integral Conditions by using Finite Difference and Orthogonal Function Approximation. Mathematica Moravica, Tome 16 (2012) no. 2. https://geodesic-test.mathdoc.fr/item/MM3_2012_16_2_a10/