%0 Journal Article
%T Orthogonal Hybrid Functions (HF) for Solving Second Order Differential Equations using One-Shot Integration Operational Matrices
%A Ganguly. A
%A Deb. A
%A Sarkar. G
%J International Journal of Scientific Engineering and Technology
%D 2013
%I 
%X 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 4thorder Runge-Kutta method.
%K Hybrid functions
%K Sample-and-hold functions
%K Triangular functions
%K Function approximation
%K Operational matrices
%K Differential equation
%U http://ijset.com/ijset/publication/v2s3/paper12.pdf