Volterra Integral Equations via Triangular and Hybrid Orthogonal Functions

Authors

  • Mukhopadhyay A Department of Electrical Engineering St. Thomas’ College of Engineering and Technology, Kolkata-
  • Ganguly A Department of Electrical Engineering St. Thomas’ College of Engineering and Technology, Kolkata-
  • Chatterjee SD Department of Electrical Engineering St. Thomas’ College of Engineering and Technology, Kolkata-

Keywords:

Non-linear Volterra Integral Equations of 2nd Kind, Non-linear Volterra-Hammerstein Equations, Hybrid Functions, Triangular Functions, Optimal control, Cost function

Abstract

We have expounded a new simple algorithm to solve non-linear Volterra integral equations via HF and drawn a comparative study between HF and TF in solving two classes of Volterra integral equations, i.e. Volterra integral equation of 2nd kind and Volterra-Hammerstein equation. To exemplify the usability of this algorithm we have dealt an optimal control problem of a deterministic system via this algorithm.

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Published

2025-11-11

How to Cite

[1]
A. Mukhopadhyay, A. Ganguly, and S. D. Chatterjee, “Volterra Integral Equations via Triangular and Hybrid Orthogonal Functions”, Int. J. Comp. Sci. Eng., vol. 4, no. 6, pp. 86–91, Nov. 2025.

Issue

Vol. 4 No. 6 (2016): IJCSE Special Issue August Edition

Section

Research Article

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