A computational solution of the multi-term nonlinear ODEs with variable coefficients using the integral-collocation-approach based on Legendre polynomials
AbstractThe main aim of this work is devoted to propose and analyze some schemes of the integral collocation formulation dependent on Legendre polynomials. We introduce these formulae to solve the multi-term ODEs with variable coefficients. The proposed technique is used to reduce the given problem to solve a system of algebraic equations. Numerical results are given to satisfy the accuracy and the applicability of the implemented approach.
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