A direct iterative-variational method for solving large sets of linear algebraic equations

A New Iterative Method For Solving Fuzzy Integral ‎Equations

In the present work, by applying known Bernstein polynomials and their advantageous properties, we establish an efficient iterative algorithm to approximate the numerical solution of fuzzy Fredholm integral equations of the second kind. The convergence of the proposed method is given and the numerical examples illustrate that the proposed iterative algorithm are ‎valid.‎

New iterative method for solving linear Fredholm fuzzy integral equations of the second kind

A Variational Iterative Method for Solving the Linear and Nonlinear Klein-Gordon Equations

In 1999, the variational iterative method (VIM) was first time proposed by J.H.He [1 − 10]. Recently, this method is used by many researchers to study linear and nonlinear ordinary, partial and integral equations. This method is more powerful than existing techniques such as ADM [11− 20] and perturbation etc. The present technique require no restrictive assumptions that are used to handle nonli...

A Linear Algebra Method for Solving Systems of Algebraic Equations

We consider the exact computation of matrix eigenproblems in residue class rings for solving systems of algebraic equations. We construct multiplication tables using a Gröbner basis of a zero-dimensional ideal. Then, we analyze the tables by exactly computing their Frobenius normal forms. The derogatoriness and the diagonalizability are determined by the normal forms, and the problem is divided...

RBF-Chebychev direct method for solving variational problems

This paper establishes a direct method for solving variational problems via a set of Radial basis functions (RBFs) with Gauss-Chebyshev collocation centers. The method consist of reducing a variational problem into a mathematical programming problem. The authors use some optimization techniques to solve the reduced problem. Accuracy and stability of the multiquadric, Gaussian and inverse multiq...