[PDF] Top 20 B-SPLINE COLLOCATION METHOD FOR NUMERICAL SOLUTION OF NONLINEAR KAWAHARA AND MODIFIED KAWAHARA EQUATIONS

... mechanics. Kawahara type equations are one of the classes of nonlinear evolution equations which occur in many physical phenomena such as the theory of magneto-acoustic waves in plasmas [1] ... See full document

... A numerical method based on septic B-spline function is presented for the solution of linear and nonlinear fifth-order boundary value ...The method is fourth order ...the ... See full document

... differential equations are solved by modifying into linear differential equation with constant ...the solution is obtained to the modified differential equation and processes are involved in finding ... See full document

... and numerical technique for solving the PDEs related with real world problems(see in ...element method, one of the quite powerful numerical approach which is revealing solutions of ...the ... See full document

... new numerical method is presented to approximate the solution of second order one- dimensional nonlinear wave ...The method is based on collocation of exponential ...Exponential ... See full document

... the solution, there is a challenge in developing accurate numerical methods for solving the partial integro-differential ...the collocation method by using the B-splines functions in ... See full document

... the numerical solution of NLS equation in the theory and application is ...Its numerical solutions have been researched by many ...difference method [10] [11], quasi-interpolation scheme [12], ... See full document

... Trapezoidal method, Legendre spline interpolation method, Adomain decomposition method, Taylor series method, Pi- card’s iterative method, Variational principle method, ... See full document

... Lane-Emden equations through different ...linearization method for singular initial-value problems in second-order ordinary differential equations such as ...the solution of nonlinear ... See full document

... equations method was implemented to obtain that ...type solution of the nonhomogenous KdVB equation with variable ...automated method based on an ansatz of a polynomial in terms of a tanh ... See full document

... the equations (3) to (6) in equation (1) for U (x) and derivatives of U ...linear equations are obtained in (n+9) ...more equations are generated in constants. Finally, we have (n+10) ... See full document

... a numerical solution of the MEW equation based on the septic B-spline finite element has been pre- sented with three different linearization ...the method were demonstrated by ... See full document

... The modified Kawahara (mKawahara) equation is a cubic non-linear equation with a fifth-order derivative ...quadratic nonlinear form of the equation is suggested by Kawahara [12] with its ... See full document

... of collocation points. Grid points for orthogonal collocation method should lie approximately in a minimal–energy configuration associated with inverse linear repulsion between ...of ... See full document

... two equations, we have a = –1, δ = 2 and a = 0, δ = 2, ...Schrödinger equations with pe- riodic boundary conditions, the multiplicity of the eigenvalues becomes an ...the equations with periodic ... See full document

... Remark 7.1 Note that, in the above argument, we do not know anything about the continuity or the differentiability of the function θ , hence of the function K t s ( , ) = K y ( , , ( )) t s θ s with respect to . s ... See full document

... a method for solving the nonlinear Volterra-Fredholm integral ...the collocation method are used to reduce the problem to the solution of nonlinear algebraic ...expansion ... See full document

... quick numerical algorithms [1, ...wavelet method have been applied for the numerical solution of different kinds of integral equations, a detailed survey on these papers can be found in ... See full document

... y ′′′ = J y y y ′ ′′ (1) With initial conditions y ( ) 0 = 0, y ′ ( ) 0 = B y , ′′ ( ) 0 = 0 . The most general function of Jerk, which is invariant in time-reversal and space-reversal and only nonlinear ... See full document

... new numerical approach to approximate the solutions of linear Fredholm and Volterra integral equations systems of the second ...This method converts the given systems with unique solutions, into a ... See full document