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Full-Text Articles in Mathematics
Shifted Third Kind Chebyshev Operational Matrix To Solve Bvps Over Infinite Interval, Bushra E. Khashem
Shifted Third Kind Chebyshev Operational Matrix To Solve Bvps Over Infinite Interval, Bushra E. Khashem
Emirates Journal for Engineering Research
The main purpose of this research is to solve boundary value problems (BVPs) with an infinite number of boundary conditions. By reducing the infinite interval to finite interval that is large and approximating the variable using finite difference method, the resulting boundary value problem is reduced to linear system of algebraic equations with unknown shifted third kind chebychev coefficients. The applications are demonstrated via test examples.
Direct Iterative Algorithm For Solving Optimal Control Problems Using B-Spline Polynomials, Suha Shihab, Maha Delphi
Direct Iterative Algorithm For Solving Optimal Control Problems Using B-Spline Polynomials, Suha Shihab, Maha Delphi
Emirates Journal for Engineering Research
New technique for achieving an approximate solution to optimal control problems (OCPs) is considered in this paper. The algorithm is based upon B-spline polynomials (BSPs) approximation with state parameterization method. An important property concerning the B-spline functions is first presented then it is utilized to propose a modified restarted technique to reduce the number of unknown parameters with fast convergence. The method is applied through four illustrative examples and is compared with other results.
Solution Of Fuzzy Fredholm Integral Equation Via Modified Homotopy Method, Raghad I. Sabri, Rasha Jalal Mitlif, Fatema Ahmed Sadeq
Solution Of Fuzzy Fredholm Integral Equation Via Modified Homotopy Method, Raghad I. Sabri, Rasha Jalal Mitlif, Fatema Ahmed Sadeq
Emirates Journal for Engineering Research
In this paper, we proposed a modification to the Homotopy method by introducing accelerating parameters for solving fuzzy integral equations.The modified method is employed to find exact solutions for fuzzy Fredholm integral equations . The results imply that the modified method is very simple and effective.