Irk, D.Kirli, E.2024-07-182024-07-18202097830303911192194-5357https://doi.org/10.1007/978-3-030-39112-6_15https://hdl.handle.net/11411/61884th International Conference on Computational Mathematics and Engineering Sciences, CMES 2019 -- 20 April 2019 through 22 April 2019 -- -- 236359In this study, high order numerical solution of one dimensional homogeneous Telegraph equation is presented using quadratic B-spline Galerkin finite element method. In the method, second and fourth order single step methods are used for the time integration. Second order single step method is also known as Crank Nicolson method. The numerical example is studied to illustrate the accuracy and the efficiency of the method. © 2020, Springer Nature Switzerland AG.eninfo:eu-repo/semantics/closedAccessGalerkin MethodHomogeneous Telegraph EquationQuadratic B-SplineGalerkin MethodsInterpolationNumerical MethodsOne DimensionalSplinesTelegraphCrank-Nicolson MethodsGalerkin Finite Element MethodsNumerical SolutionQuadratic B-SplinesSecond OrdersSingle-Step MethodTelegraph EquationTime İntegrationFinite Element MethodNumerical Solution of the Homogeneous Telegraph Equation by Using Galerkin Finite Element MethodConference Object2-s2.0-8507909757410.1007/978-3-030-39112-6_15217N/A2091111 AISC