On the Efficiency of Five Step Approximation Method for the Solution of General Third Order Ordinary Differential Equations

[摘要] In this work, a five step continuous method for the solution of third order ordinary differential equations was developed in block form using collocation and interpolation techniques of the shifted Legendre polynomial basis function. The method was found to be zero-stable, consistent and convergent. The application of the method in solving third order initial value problem of ordinary differential equations revealed that the method compared favorably with existing methods.

[学科分类] 计算机应用

[关键词] Shifted Legendre polynomials;third order block method;discrete method;convergent.