Pell polynomial approach for solving a class of systems of
nonlinear differential equations
M. Cakmak, S. Alkan
In this study, Pell polynomial approach is used for
approximately solving a class of systems of nonlinear differential equations
with initial conditions. The given problem is firstly expressed as a matrix-vector
system via collocation points. Then the unknown coefficients of
the approximate solution are obtained. Also, some test problems are
given to demonstrate accuracy and effectiveness of the proposed method.
Additionally, the calculated numerical values are
compared with exact solutions of the test problems and approximate ones
obtained with other methods in literature.
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