In this article, we study the Volterra integral equations with two kinds of delay that are proportional delay and nonproportional delay. We mainly use Chebyshev spectral collocation method to analyze them. First, we use variable transformation to transform the equation into an new equation which is defined in [-1, 1]. Then, with the help of Gronwall inequality and some other lemmas, we provide a rigorous error analysis for the proposed method, which shows that the numerical error decay exponentially in L∞ and Lωc2-norm. In the end, we give numerical test to confirm the conclusion.
Weishan ZHENG
,
Yanping CHEN
. NUMERICAL ANALYSIS FOR VOLTERRA INTEGRAL EQUATION WITH TWO KINDS OF DELAY[J]. Acta mathematica scientia, Series B, 2019
, 39(2)
: 607
-617
.
DOI: 10.1007/s10473-019-0222-6
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