Abstract
In this paper, we investigate the solution of multi-dimensional diffusion equation using decomposition method. We consider two cases: a two-dimensional equation with non local boundary conditions and a three-dimensional equation with an integral condition. The method is reliable and gives a solution in a series form with high accuracy. It also guarantees considerable saving of calculation volume and time as compared to traditional methods. The obtained results show that the decomposition method is efficient and yields a solution in a closed form.
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Cheniguel, A. (2014). On the Numerical Solution of Multi-dimensional Diffusion Equation with Non Local Conditions. In: Kim, H., Ao, SI., Amouzegar, M. (eds) Transactions on Engineering Technologies. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-9115-1_43
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DOI: https://doi.org/10.1007/978-94-017-9115-1_43
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