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Home  >  Transasctions of NAMP VOL2

6. Certain Orthogonal Polynomials in Orthogonal Collocation Methods of Solving Fredholm Integro-Differential Equations (FIDEs) by Ebimene James Mamadu and Ignatius N. Njoseh Transactions Vol 2, (Nov. 2016), pp 59 – 64
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This work is concerned with numerical solution of linear and nonlinear Fredholm integro-differential equations (FIDEs)using orthogonal collocation method.Here we constructed the orthogonal polynomials involved in the interval [0,1] with respect to the weight function w(x)=1. The orthogonal polynomials we constructed gave a good rate of convergence. The method is implemented on some selected problems for experimentation and the results obtained show that it is effective with excellent rate of convergence when compared with the exact solutions available in literature.

Keywords:Orthogonality, Orthogonal Collocation, FIDEs, integral equations