International Journal of Scientific Engineering and Technology

  • Year: 2013
  • Volume: 2
  • Issue: 3

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

  • Author:
  • A. Ganguly1,, A. Deb2, G. Sarkar2
  • Total Page Count: 15
  • DOI:
  • Page Number: 171 to 185

1Department of Electrical Engineering, St. Thomas’ College of Engineering and Technology, Kolkata, India

2Department of Applied Physics, Calcutta University, Kolkata, India

Abstract

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.

Keywords

Hybrid functions, Sample-and-hold