Using the method of undetermined coefficients, we construct a set of shape function spaces of nine-node triangular plate elements converging for any meshes, which generalize Spect's element and Veubeke's element.
In this work, we have obtained numerical solutions of the generalized Korteweg-de Vries (GKdV) equation by using septic B-spline collocation finite element method. The suggested numerical algorithm is controlled by ap...In this work, we have obtained numerical solutions of the generalized Korteweg-de Vries (GKdV) equation by using septic B-spline collocation finite element method. The suggested numerical algorithm is controlled by applying test problems including;single soliton wave. Our numerical algorithm, attributed to a Crank Nicolson approximation in time, is unconditionally stable. To control the performance of the newly applied method, the error norms, <em>L</em><sub>2</sub> and <em>L</em><sub>∞</sub> and invariants <em>I</em><sub>1</sub>, <em>I</em><sub>2</sub> and <em>I</em><sub>3</sub> have been calculated. Our numerical results are compared with some of those available in the literature.展开更多
文摘Using the method of undetermined coefficients, we construct a set of shape function spaces of nine-node triangular plate elements converging for any meshes, which generalize Spect's element and Veubeke's element.
文摘In this work, we have obtained numerical solutions of the generalized Korteweg-de Vries (GKdV) equation by using septic B-spline collocation finite element method. The suggested numerical algorithm is controlled by applying test problems including;single soliton wave. Our numerical algorithm, attributed to a Crank Nicolson approximation in time, is unconditionally stable. To control the performance of the newly applied method, the error norms, <em>L</em><sub>2</sub> and <em>L</em><sub>∞</sub> and invariants <em>I</em><sub>1</sub>, <em>I</em><sub>2</sub> and <em>I</em><sub>3</sub> have been calculated. Our numerical results are compared with some of those available in the literature.
