@Article{AAMM-5-131, author = {Zheng , Weishan and Chen , Yanping}, title = {A Spectral Method for Second Order Volterra Integro-Differential Equation with Pantograph Delay}, journal = {Advances in Applied Mathematics and Mechanics}, year = {2013}, volume = {5}, number = {2}, pages = {131--145}, abstract = {

In this paper, a Legendre-collocation spectral method is developed for the second order Volterra integro-differential equation with pantograph delay. We provide a rigorous error analysis for the proposed method. The spectral rate of convergence for the proposed method is established in both $L^2$-norm and $L^∞$-norm.

}, issn = {2075-1354}, doi = {https://doi.org/10.4208/aamm.12-m1209}, url = {http://global-sci.org/intro/article_detail/aamm/61.html} }