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Approximate analytical solution of 3D fractional microscale heat equation using modified homotopy perturbation method
Homotopy Perturbation Method (HPM) Three-dimensional heat transport equation heat flux gradient
2010/9/14
In the present article, we use modified homotopy perturbation method (HPM) to find approximate analytical solution of three-dimensional time fractional microscale heat transport equation. This transpo...
Fourth-order method for non-homogeneous heat equation with nonlocal boundary conditions
Heat equation non-local boundary conditions fourth-order numerical methods
2010/9/15
In this paper a fourth-order numerical scheme is developed and implemented for the solution of non-homogeneous heat equation ut = uxx + q(x, t) with integral boundary conditions. The results obtained ...
Global Approximately Controllability and Finite Dimensional Exact Controllability of Semilinear Heat Equation in R~N
semilinear heat equation controllability
2007/12/10
We prove the approxomate controllability and finite dimensional exact controllability of semilinear heat equation in R~N with the same control by introducing the weighted Soblev spaces.