Numerical approximation of a nonlinear fourth-order integro-differential equation by spectral method

Qingqu Zhuang and Quanwei Ren

Applied Mathematics and Computation, 2014, vol. 232, issue C, 775-783

Abstract: A spectral method is developed to approximate a nonlinear fourth-order integro-differential equation. An iterative algorithm is proposed to solve the discrete algebraic system. Convergence analysis of the iteration is carried out. An error estimate is also derived for the proposed method. Several numerical examples are presented to confirm the efficiency and accuracy of the overall algorithm.

Keywords: Fourth-order integro-differential equation; Spectral approximation; Iterative method; Error estimate (search for similar items in EconPapers)
Date: 2014
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:232:y:2014:i:c:p:775-783

DOI: 10.1016/j.amc.2014.01.157

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