Abstract
The current research study proposes an efficient numerical method for obtaining an approximate solution to nonlinear stochastic integral equations implementing the collocation method and the Walsh operational matrices. Given the complexity of solving each integral equation exactly, we use a numerical approach that converts the equation into a system of algebraic equations, yielding an approximate solution. Through error analysis, the method is found to exhibit linear convergence, underscoring its efficiency. We offer numerical tests to show the accuracy and usefulness of the proposed approach. This work also demonstrates the applicability of the method to dealing with the stochastic logistic model.
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Details
1 Gandhi Institute of Excellent Technocrats, Department of Basic Science and Humanities, Bhubaneswar, India
2 OUAT, College of Basic Science and Humanities, Bhubaneswar, India (GRID:grid.412372.1) (ISNI:0000 0001 2292 0631)
3 Shahid Bahonar University of Kerman, Department of Applied Mathematics, Faculty of Mathematics and Computer, Kerman, Iran (GRID:grid.412503.1) (ISNI:0000 0000 9826 9569)