Abstract
AbstractIn this paper, a numerical scheme is utilized to solve three‐dimensional nonlinear system of Volterra‐Hammerstein integrals equations, which is based on the three‐dimensional block‐pulse functions (3D‐BPFs) and their operational matrices. Then the primary nonlinear system is transferred into a linear system of algebraic equations by applying the approximate expression and operational matrices, which can be easily solved through any numerical techniques. According to the convergence of 3D‐BPFs, the new convergence analysis and error estimation theorem of the research system is detailed investigated. Lastly illustrative examples are included to demonstrate the validity and applicability of the technique.
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