Solving Fully Parameterized Singularly Perturbed Non-linear Parabolic and Elliptic Pde’s by Explicit Approximate Inverse Fe Matrix Algorithmic Methods
نویسنده
چکیده
A class of generalized approximate inverse finite element matrix algorithmic methods for solving nonlinear parabolic and elliptic PDE’s, is presented. Fully parameterized singularly perturbed non-linear parabolic and elliptic PDE’s are considered and explicit preconditioned generalized conjugate gradient type schemes are presented for the efficient solution of the resulting nonlinear systems of algebraic equations. Applications of the proposed algorithmic methods on characteristic twodimensional non-linear boundary value and initial value problems are discussed and numerical results are given.
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