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Keller box technique based on finite differencing is used for computations.
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The motion of the thin structure is governed by a generalized Euler Bernoulli beam model, and these equations are solved in a Lagrangian frame using two approaches, one based on finite differences and the other on finite elements.
The first one which is based on finite difference model calculates the welding width and its penetration by utilizing heat transfer equations.
The order of the influence matrix is twice larger than one would expect from analogous solution methods based on finite differences or finite elements.
The algorithm is based on finite difference explicit implicit method.
The q-calculus theory is a novel theory that is based on finite difference re-scaling.
The method, which is very easy to implement, is based on finite difference discretization.
The coupled system is solved by using a simple numerical scheme based on finite differences.
The phenomenon was verified using numerical simulation method based on finite difference method.
Hence, intuition based on finite difference methods can lead to false results.
The developed scheme for finding the solution of the considered problem is based on finite difference method and collocation method.
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