STWS approach for Hammerstein system of nonlinear Volterra integral equations of the second kind

ABSTRACT

In this paper, single-term Walsh series (STWS) method is applied to obtain the numerical solutions of Hammerstein systems of nonlinear Volterra integral equations of second kind (HSNVIES). Using the properties of the STWS method, HSNVIES can be easily converted into solvable recursive system of algebraic equations. Solutions obtained from the recursive system of algebraic equations are the solutions of the HSNVIES. Illustrative examples are provided with numerical solutions and the efficiency of this STWS method is also compared with the existing methods.

KEYWORDS:

• Numerical method
• system of nonlinear integral equations
• Volterra type
• single-termWalsh series
• Hammerstein systems

2010 AMS SUBJECT CLASSIFICATIONS:

• 34K28
• 45D05
• 45G15

Disclosure statement

No potential conflict of interest was reported by the authors.

Additional information

Funding

One of the authors R. Chandra Guru Sekar would like to thank the National Institute of Technology, Tiruchirappalli, for the financial support through the Institute Fellowship [grant number 1].