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Maleknejad, K. and Jafaribehbahani, Z. (2012) Applications of Two-Dimensional Triangular Functions for Solving Nonlinear Class of Mixed Volterra-Fredholm Integral Equations. Mathematical and Computer Modelling, 55, 1833-1844.
https://doi.org/10.1016/j.mcm.2011.11.041

has been cited by the following article:

• TITLE: Numerical Solution of Two-Dimensional Nonlinear Stochastic Itô-Volterra Integral Equations by Applying Block Pulse Functions

  AUTHORS: Guo Jiang, Xiaoyan Sang, Jieheng Wu, Biwen Li

  KEYWORDS: Block Pulse Functions, Integration Operational Matrix, Stochastic Itô-Volterra Integral Equations

  JOURNAL NAME: Advances in Pure Mathematics, Vol.9 No.2, February 14, 2019

  ABSTRACT: This paper investigates the numerical solution of two-dimensional nonlinear stochastic Itô-Volterra integral equations based on block pulse functions. The nonlinear stochastic integral equation is transformed into a set of algebraic equations by operational matrix of block pulse functions. Then, we give error analysis and prove that the rate of convergence of this method is efficient. Lastly, a numerical example is given to confirm the method.