Rohul AminNichaphat PatanarapeelertMuhammad Awais BarkatIbrahim MahariqThanin Sitthiwirattham2025-03-102025-03-102022Journal of Function Spaces2314889610.1155/2022/75190022-s2.0-85132439231https://repository.dusit.ac.th//handle/123456789/4650In this paper, a two-dimensional Haar wavelet collocation method is applied to obtain the numerical solution of delay and neutral delay partial differential equations. Both linear and nonlinear problems can be solved using this method. Some benchmark test problems are given to verify the efficiency and accuracy of the aforesaid method. The results are compared with the exact solution and performance of the two-dimensional Haar collocation technique is measured by calculating the maximum absolute and root mean square errors for different numbers of grid points. The results are also compared with finite difference technique and one-dimensional Haar wavelet technique. The numerical results show that the two-dimensional Haar method is simply applicable, accurate and efficient. © 2022 Rohul Amin et al.All Open Access; Gold Open AccessArticleScopus