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Walsh function-based numerical approach for nonlinear stochastic integral equations: Application to stochastic logistic models

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Gepubliceerd in:Boundary Value Problems vol. 2025, no. 1 (Dec 2025), p. 136
Hoofdauteur: Paikaray, Prit Pritam
Andere auteurs: Beuria, Sanghamitra, Parida, Nigam Chandra, Izadi, Mohammad
Gepubliceerd in:
Hindawi Limited
Onderwerpen:
Calculus
Growth models
Integral equations
Collocation methods
Approximation
Stochastic models
Logit models
Error analysis
Methods
Algebra
Polynomials
Walsh function
Numerical methods
Parameter estimation
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Samenvatting: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.
ISSN:1687-2762
1687-2770
DOI:10.1186/s13661-025-02129-0
Bron:Advanced Technologies & Aerospace Database