| Abstract: | A Laplace decomposition algorithm is adopted to investigate numerical solutions of a class of nonlinear partial diferential equations with nonlinear term of any order,utt+auxx+bu+cup+du2p 1=0,which contains some important equations of mathematical physics.Three distinct initial conditions are constructed and generalized numerical solutions are thereby obtained,including numerical hyperbolic function solutions and doubly periodic ones.Illustrative figures and comparisons between the numerical and exact solutions with diferent values of p are used to test the efciency of the proposed method,which shows good results are achieved. |
