TY - JOUR ID - 24487 TI - Application of modified hat functions for solving nonlinear quadratic integral equations JO - Iranian Journal of Numerical Analysis and Optimization JA - IJNAO LA - en SN - 2423-6977 AU - Mirzaee, F. AU - Hadadiyan, E. AD - Faculty of Mathematical Sciences and Statistics, Malayer University, Malayer, Iran. Y1 - 2016 PY - 2016 VL - 6 IS - 2 SP - 65 EP - 84 KW - Modication of hat functions KW - Nonlinear quadratic integral equation KW - Vector forms KW - Operational matrix KW - error analysis DO - 10.22067/ijnao.v6i2.46565 N2 - A numerical method to solve nonlinear quadratic integral equations (QIE) is presented in this work. The method is based upon modification of hat functions (MHFs) and their operational matrices. By using this approach and the collocation points, solving the nonlinear QIE reduces to solve a nonlinear system of algebraic equations. The proposed method does not need any integration for obtaining the constant coefficients. Hence, it can be applied in a simple and fast technique. Convergence analysis and associated theorems are considered. Some numerical examples illustrate the accuracy and computational efficiency of the proposed method. UR - https://ijnao.um.ac.ir/article_24487.html L1 - https://ijnao.um.ac.ir/article_24487_829ad388b03bab09618fac2a73e45f14.pdf ER -