[PDF] Top 20 THE NUMERICAL SOLUTION OF THE BAGLEY-TORVIK EQUATION BY EXPONENTIAL INTEGRATORS

... cient numerical schemes for numerical solution to the Bagley-Torvik ...the Bagley- Torvik equation is rst transformed into a system of linear FDEs of commensurate ... See full document

... determining numerical solutions of the Bagley- Torvik ...the solution of this problem and proposed a numerical method in his ...the Bagley-Torvik equation and ... See full document

... the numerical solution to the generalized B–T equa- ...B–T equation with the fractional order 1 < α < 2 was ...B–T equation with fractional integral boundary conditions and the frac- ... See full document

... divergent solution due to which many issues ...capable numerical proce- dure for enlightening the fractional order physical problems using the Cheby- shev ...the numerical solution of ... See full document

... the numerical solution of integro-differential ...method. Numerical results demonstrate that local polynomial fitting method is more accurate, simply and ...inhomogeneous Bagley-Torvik ... See full document

... The organization of the rest of this paper is as follows: In Section 2, we introduce some necessary definitions and mathematical preliminaries of sinc functions, fractional calculus and Gauss-Jacobi quadrature. In Section ... See full document

... analytical solution if the equation has an exact solution that is polynomial ...functions. Numerical examples are included and a comparison is made with an existing ... See full document

... We use the fractional truncated Bernoulli series expansions of each term in expression and their matrix representations for solving   k  th order linear fractional differential equation with variable ... See full document

... for numerical solution of ordi- nary differential equations refer, at least, to the time of Lanczos ...offer exponential rates of convergence (spectral ...the solution of fractional differential ... See full document

... approximate solution of the fuzzy fractional Bagley-Torvik ...differential equation by using the RBF collocation ...fractional Bagley-Torvik equation), hence an attempt has ... See full document

... amplitude. Equation (2) is an exact solution of the KdV equation representation a non dispersive travelling wave packet [3], [8], ...KdV equation that includes time as a ... See full document

... and exponential stability in mean square of the exponential Euler method to semi-linear stochastic delay differential equations ...the exponential Euler approximation solution converges to the ... See full document

... where O is the zero matrix. It is well known that the determinant of the matrix S is the product of the determinants of the matrices A, B and C. Therefore, the eigenvalues of S consists of the set of eigenvalues of A, B ... See full document

... the numerical solution of a nonlinear integro- differential equation modeling the temporal variation of the mean number density a(t) in the single-species annihilation reaction A + A → ∅ is ... See full document

... u x t = − x (34) Conserved quantities and error norms at various times are recorded in Table 1. The real and imaginary parts of the numerical and exact solutions are tabulated in Table 2, the numerical ... See full document

... global solution for a reaction-diffusion equation with generalized Lewis function and nonlinear exponential ...reaction-diffusion equation with exponential growth f as a reaction term by ... See full document

... The relative difference of the most influential variable p(x) from the calculation with FLUENT according to the set equation (14) shows a very small deviation of the pressure change. The example below illustrates ... See full document

... KdV equation, the RLW equation, the Rosenau equation, and many others ...KdV equation has been used in very wide applications, such as magnetic fluid waves, ion sound waves, and longitudinal ... See full document

... The method of solving higher-order ODEs by reducing them to a system of first-order equation involves more functions evaluation which to evaluate leads to computational burden as mentioned in (Master, 2011) and ... See full document

... differential equation and fuzzy initial value problems are studied by Kaleva [2], [ 3] and Seikkala ...differential equation and using the Runge-Kutta method to solve some examples by using computer ... See full document