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Orthogonal Hybrid Functions (HF) for Solving Second Order Differential Equations using One-Shot Integration Operational Matrices

Journal: International Journal of Scientific Engineering and Technology (IJSET) (Vol.2, No. 3)

Publication Date:

Authors : ;

Page : 171-185

Keywords : Hybrid functions; Sample-and-hold functions; Triangular functions; Function approximation; Operational matrices; Differential equation;

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The present work employs a new set of orthogonal hybrid functions (HF) generated from the synthesis of orthogonal sample-and-hold functions (SHF) and triangular functions (TF). The one-shot operational matrices for second order integration are derived. These matrices are employed for more accurate second order integration. Finally, these matrices are employed for solving second order non-homogeneous differential equations followed by a numerical example. The results are compared with the exact solution as well as the results obtained via 4th order Runge-Kutta method.

Last modified: 2013-03-01 09:15:42