[PDF] Top 20 Numerical solution of nonlinear Volterra-Fredholm integral equation by using Chebyshev polynomials

... used Chebyshev polynomials to solve linear and non- linear Volterra-Fredholm integral equations, ...these polynomials, then we use them to change the ... See full document

... a numerical method for solving system of Linear Fredholm integral equations of the second ...the Chebyshev cardinal functions with Gauss-Lobatto points are used as a set ... See full document

... equations, integral equations, Integro-Differential Equations (IDE), stochastic equations and ...and numerical solutions of the linear Fredholm integro- differential equation of ... See full document

... form of the solution to Abel equation by using the Gauss-Jacobi quadrature ...approximate solution to Abel equation by means of the Chebyshev ... See full document

... the solution of fuzzy volterra-fredholm integral equa- ...That, by using parametric form of fuzzy numbers, a fuzzy volterra-fredholm integral ... See full document

... formulation of the arbitrary order weakly singular integral is acquired by using Block-Pulse ...a numerical scheme for solving the higher order linear and nonlinear weakly ... See full document

... applications of shifted Legendre polynomials had been studied by many researchers and several papers [44-48] have appeared in the literature, concerned with operational matrix based ...application ... See full document

... the numerical solution of integral equation ...use of Haar wavelets are presented in [1, 19]. Chebyshev collocation method is applied in [22] to get the solution in ... See full document

... Rosenau–RLW equation has been solved numerically by various methods (for example, see ...the equation. The convergence and stability of the proposed method were also ... See full document

... case of a circular cylinder is an important issue in offshore industry where cross members may be in the splash zone of the incident ...a numerical solution are employed to study the water ... See full document

... done using TensorFlow and used only CPU’s. In spite being trained using a personal use computer (MacBook Pro 2015, Core i5 ...stopped by a default criteria by TensorFlow’s optimizer, in the ... See full document

... nomials of the first kind ...patibility of the above differential system (2) and the matrix form of the recurrence relation yields a matrix Lax pair representation, leading to a dis- crete ... See full document

... lot of attention has recently been paid to numerical methods for stochastic partial differential equations ...Various numerical methods and approximation schemes for SPDEs have also been developed, ... See full document

... spite of the great importance of the filters and linear systems of modeling in large ranges of situations, there exist many applications in which they post their limits of ...presence ... See full document

... subgroup of retrovirus) which has a roughly spherical shape and a diameter of about 120 nm (about 60 times smaller than the dimension of red blood ...system of the ...part of the immune ... See full document

... formulae of precisely this form. In both cases the final solution is of order ...is of course possible to use even more stages in our deferred correction ...derived by Capper ([25]) and ... See full document

... models of predator prey interactions (Shakil, 2014), where the quasi- chemical approach has been use for modeling the predator prey ...have nonlinear systems of partial differential equations for ... See full document

... presented by Clearly and Adrian (1973), Selim and Mansell (1976), ...analytical solution for finite spatial domain associated with exponentially decaying time-dependent inlet boundary ...general ... See full document

... The Chebyshev and super-Halley methods are very attractive for solving nonlinear problems, because they have the cubic convergence ...resolution of two linear systems. The analyzes with the ... See full document

... exact solution of the pendulum equation of motion are ...approximate solution, I have modi- fied the harmonic approximation proposed in ...loss of harmonicity with the increase ... See full document