University of Guilan Journal of Mathematical Modeling 2345-394X 9 2 2021 05 01 Solution of Kawahara equation using a predictor-corrector and RBF-QR method 185 199 4311 10.22124/jmm.2020.17221.1497 EN Zahra Dehghan Department of Mathematics, Central Tehran Branch, Islamic Azad University, Tehran, Iran Jalil Rashidinia Department of Mathematics, Central Tehran Branch, Islamic Azad University, Tehran, Iran Journal Article 2020 07 26 Two different methods based on radial basis functions (RBFs) for one-dimensional Kawahara equation are presented. In the first one, we use  MQ-RBF with predictor-corrector scheme.  Then the statistical tool LOOCV is implemented  for selecting good value of shape parameter. In the second one a different scheme is constructed for time and  then the RBF-QR method is implemented.  In the both of two approaches, the Not-a-Knot method is used to improve the accuracy at the boundaries. The purpose of this paper is to devot suitable strategies to obtain more accurate and efficient solutions specially for arising fifth order time-dependent nonlinear equations comparing with the results from the relevant papers. https://jmm.guilan.ac.ir/article_4311_f6504d7ccaf8049edc04226d04a09978.pdf