Journal
ADVANCES IN DIFFERENCE EQUATIONS
Volume -, Issue -, Pages -Publisher
PUSHPA PUBLISHING HOUSE
DOI: 10.1186/s13662-018-1937-8
Keywords
Reproducing kernel Hilbert space; Complete orthonormal system; Fuzzy Volterra integro-differential equation
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In this article, we propose a new method that determines an efficient numerical procedure for solving second-order fuzzy Volterra integro-differential equations in a Hilbert space. This method illustrates the ability of the reproducing kernel concept of the Hilbert space to approximate the solutions of second-order fuzzy Volterra integro-differential equations. Additionally, we discuss and derive the exact and approximate solutions in the form of Fourier series with effortlessly computable terms in the reproducing kernel Hilbert space W23[a,b]circle plus W2.3[a,b]. The convergence of the method is proven and its exactness is illustrated by three numerical examples.
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