[PDF] Top 20 A Direct Method for Numerically Solving Integral Equations System Using Orthogonal Triangular Functions

... of triangular functions (TFs) proposed by Babolian et ...a direct method for numerically solving the Volterra and Fredholm integral equations system is ... See full document

... Integral equations appear in mathematical modeling of different disciplines such a biology, chemistry, physics, en- ...Volterra integral equations are used, such a triangular ... See full document

... of equations can not be solved ...numerical method for solving the stochastic volterra-fredholm integral equations by using properties of the block pulse functions (BPFs) ... See full document

... telegraph equations [1], electrical engineering [2], electro- chemical process, heat and mass transfer [3] electromagnetic and electrodynamic [4] molecular physics, fluid mechanic, Consolidation equation, ... See full document

... of orthogonal basis functions called triangular functions (TFs) is used and applied to the method of moments for determining the scattered fields from thin ...wires. Using this ... See full document

... A direct method was formulated based on a spe- cial representation of TFs vector ...projection method, transforms a Volterra or Fredholm integral equa- tion of the second kind to a set of ... See full document

... simple method to approximate the solution of system of linear integral equations of the second kind based on Adomian’s decomposition method ...Sinc-collocation method for ap- ... See full document

... efficient method for solving numerically stochastic Volterra integral equa- tion is ...consider triangular func- tions and their operational matrix of ...This method has several ... See full document

... Midpoint method for solving system of linear Fredholm integral equations of the second ...by using a programs written in Matlab ...present method we compared the results ... See full document

... different orthogonal basis functions, such as block pulse functions, Walsh func- tions, Fourier series, orthogonal polynomials and wavelets, were used to estimate solutions of functional ...of ... See full document

... novel method to find the numerical solution of the linear Ferdholm integral equation of second ...This method is based on the Taylor series multiplied by an exponential function to approximate the ... See full document

... differential equations arise in many problems in mechanics, finance, biology, medical, social sciences and etc ...These equations are often dependent on a noise source, on a Gaussian white noise, so ... See full document

... Here we use scattered data interpolation to find the solution of multivariable I.E. In the univariate setting it is well known that one can interpolate to arbitrary data at N distinct data sites using a polynomial ... See full document

... fuzzy functions by fuzzy bicubic splines interpo- lation and present a new approach based on the two-dimensional fuzzy splines interpolation and iterative method to approximate the solution of ... See full document

... [7] B. Bede, S.G. Gal, Quadrature rules for integrals of fuzzy-number-valued functions, Fuzzy Sets and Systems 145 (2004) 359-380. [8] A.M. Bica, Error estimation in the approx- imation of the solution of ... See full document

... collocation method to solve nonlinear integral equation of the first and second kind Fredholm–Volterra integral equations of the second kind by transformingour problems into a system of ... See full document

... collocation method based on RBFs for numerical solution of three-dimensional linear Fredholm integral equations of the second kind on the cubic domains is ...proposed method is a meshless ... See full document

... differential equations and showed that this system can be written as a symmetric – hyperbolic (Friedrichs) system, ...the system of equations of a two-fluid medium can be reduced to a ... See full document

... 15. El-Sayed, A.M.A. and Hashem, H.H.G. Integrable and continuous solu- tions of a nonlinear quadratic integral equation, EJQTDE, 25 (2008) 1-10. 16. El-Sayed, A.M.A. and Hashem, H.H.G. Monotonic positive solution ... See full document

... x ∈ [0, 1], in which functions f and k and the nonlinear operator N are considered such that Eq. (1.1) has a unique solution. Furthermore, we need to assume that F is continuous. The rest of the paper is organized ... See full document