[PDF] Top 20 A matrix method for system of integro-differential equations by using generalized Laguerre polynomials

... operational matrix of fractional integration for shifted jacobi polynomials, Bulletin of the Malaysian Mathematical Sciences ...Nystrom method for systems of ... See full document

... practical matrix method for solving nonlinear Volterra-Fredholm integro-differential equa- tions under initial conditions in terms of Bernstein polynomials on the interval ...matrices’ ... See full document

... ational matrix of Caputo fractional-order derivatives for Chebyshev polynomials, which was derived in [] to solve a system of ...FDEs using the operational matrix of fractional ... See full document

... a system of equations. The generated system, which considering the type of the equation will be either linear or nonlinear, can be solved through various methods and the unknown coefficients can be ... See full document

... a system of fractional differential ...relaxation method in solving frac- tional differential equations is applied in ...Chebyshev polynomials of any degree for any fractional order in terms of ... See full document

... Consider an elastic medium under conditions of plane strain or generalized plane stress which fills all of the infinite plane of the variable z and is weakened by a hole of arbitrary shape. By convention, this ... See full document

... numerical method is considered for solving the fractional wave equation ...The method is based on La- guerre approximations. The properties of Laguerre polynomials are utilized to reduce FWE ... See full document

... a differential equation such as the HJB(Hamilton- Jacobi-Bellman) or TPBV(Two Point Boundary Value )problem that is based on the principle of optimality which in most casesare very difficult to solve, So the idea ... See full document

... and polynomials have been used to approximate the solution of various functional ...of using or- thogonal basis is that the equation under study reduces to a system of linear or non-linear algebraic ... See full document

... numerical method is presented for solving a class of linear Fredholm integro- differential ...operational matrix of derivative is obtained by introducing hybrid third kind Chebyshev ... See full document

... () using the Adomian decomposition method and obtained a sequence of approximate solutions in the form of triple integrals with Adomian’s polynomials that required many symbolic calculations to ... See full document

... Volterra integro-differential equation [44], linear Fredholm integro-differential equation [45, 46], linear integro- differential equation [47], parabolic-type Volterra partial ... See full document

... linear system of fractional integro- differential ...linear integro-differential equations ,which is based on Taylor series ... See full document

... efficient method is presented for solving infinite boundary integro-differential equa- tions (IBI-DE) of the second kind with degenerate kernel in terms of Laguerre ...these polynomials ... See full document

... other polynomials in ...characteristic polynomials of a ...was generalized by Araujo et ...general method was introduced by Babic et ... See full document

... This research paper is organized as follows: Section 2 provides basic definitions and properties of the variable order fractional order calculus. Section 3 explains the definition of Bernstein polynomials and ... See full document

... of integro-differential equations have a major role in the fields of science, physical phenomena, and engineering, such as nano-hydrodynamics, glass-forming process, dropwise condensation, wind ... See full document

... difference is that in our study we need to use an assumptions of compactness on the nonlinear equation, and in applications, these assumptions make all differences, because, even in infinite dimensional Hilbert space it ... See full document

... nonlinear equations without linearizing the ...a generalized power series method for solving a nonlinear problem very easily and elegantly and that too without linearizing the ... See full document

... The above examples 1 to 4 has been solved numerically using the LPR method and STHWS method. The obtained results (with step size time = 0.1) along with exact solutions of the examples 1 to 4 and ... See full document