Quartic Trigonometric Tension B-spline Finite Element Method for Solving
Method of collocation is established for getting solution of the Gardner
equation (GE). The GE is fully integrated by way of the Crank-Nicolson
method for time variable and collocation method for spatial variable.
Trial function of the collocation method is set up using combination of
quartic trigonometric tension (QTT) B-splines. Convergence analysis of
suggested method is investigated. Performance of the quartic
trigonometric tension B-splines is searched by studying three test
problems; propagation of bell shape solitary wave, interaction of two
positive bell shape solitary wave and wave generation.