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Nonlinear ordinary differential equation is obtained with the use of superposition and Galerkin methods and solved applying the homotopy perturbation method (HPM).
A transient temperature prediction model was established to analyze wellbore temperature distribution of horizontal wells during drilling shale gas and geothermal energy based on unsteady two-dimensional convection-diffusion equation and the model was discretized with finite volume methods and solved by owe relaxation iteration method.
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We have to have confidence in new methods and solve all the problems together".
We apply these methods and solve some ideal magnetohydrodynamics problems.
So after describing the proposed algorithm, we calibrate all these methods and solve the problem with them.
The constrained minimisation problem is discretised using Galerkin's method, and solved using Lagrange multipliers.
They selected random projections as the feature extraction method and solved sparse representation using the greedy algorithm.
For the numerical treatment of (7), systems of non-linear equations are set up via a Runge-Kutta collocation method and solved by a Newton method.
The differential equations are discretized by the finite volume method and solved iteratively with the SIMPLE algorithm.
It is implemented with a finite volume method, and solved by means of the open source package OpenFOAM.
Liu et al. [3] employed the fractional predictor corrector method and solved this problem with (q=1.85) and different values of time and space step sizes.
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