Bülbül B.Sezer M.2024-07-222024-07-22201315635147http://akademikarsiv.cbu.edu.tr:4000/handle/123456789/17200A numerical method based on collocation points is developed to solve the nonlinear Klein-Gordon equations by using the Taylor matrix method. The method is applied to some test examples and the numerical results are compared with the exact solutions. The results reveal that the method is very effective, simple, and convenient. In addition, an error estimation of proposed method is presented. © 2013 Berna Bülbül and Mehmet Sezer.EnglishAll Open Access; Gold Open Access; Green Open AccessNonlinear equationsCollocation pointsExact solutionNew approachesNonlinear klein-Gordon equationNumerical resultsNumerical solutionTaylor matrix methodsTest examplesNumerical methodsArticle10.1155/2013/869749