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A generalization of discrete Gronwall inequality and its application to weakly singular Volterra integral equation of the second kind |
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| Authors: | Lü Tao,Huang Yong |
| Affiliation: | a Institute of Mathematics, Sichuan University, Chengdu 610064, PR China b Institute of Computer Application, Academia Sinica, Chengdu 610041, PR China c Institute of Business and Administration, Sichuan University, Chengdu 610064, PR China |
| Abstract: | This paper presents a new discrete Gronwall inequality. Using the inequality, we prove convergence and error estimate of the numerical solutions of the second weakly singular Volterra integral equation, where discrete equation is derived by Novot's quadrature formula. |
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