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A new computational method for solving two‐dimensional Stratonovich Volterra integral equation
Author(s) -
Mirzaee Farshid,
Hadadian Elham
Publication year - 2017
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.4427
Subject(s) - mathematics , volterra integral equation , algebraic equation , integral equation , numerical analysis , algebraic number , matrix (chemical analysis) , algebra over a field , mathematical analysis , nonlinear system , pure mathematics , physics , quantum mechanics , materials science , composite material
This paper presents a method for computing numerical solutions of two‐dimensional Stratonovich Volterra integral equations using one‐dimensional modification of hat functions and two‐dimensional modification of hat functions. The problem is transformed to a linear system of algebraic equations using the operational matrix associated with one‐dimensional modification of hat functions and two‐dimensional modification of hat functions. The error analysis of the method is given. The method is computationally attractive, and applications are demonstrated by a numerical example. Copyright © 2017 John Wiley & Sons, Ltd.