[PDF] Top 20 Delta basis functions and their applications for solving two-dimensional linear Fredholm integral equations

... on two- dimensional delta functions (2D-DFs), is developed to find numeri- cal solutions of two-dimensional linear Fredholm integral ...present two ... See full document

... a basis of rationalized Haar functions for the numerical solution of nonlinear two-dimensional Volterra and Fredholm integral equations ...nonlinear ... See full document

... Block-Pulse functions and Bernstein polynomials [41] and finally, iterative method and fuzzy bivari- ate block-pulse functions ...fuzzy Fredholm integral equations by using fuzzy inter- ... See full document

... many applications in science and en- ...boundary integral equa- tion (LBIE) method [17], the partition of unity method (PUM) [18], the meshless collocation method based on radial basis ... See full document

... Nonlinear two dimensional integral (NLTD) equations of the second kind have been exploited in several areas, including non homogeneous elasticity and electrostatics (Sankar ...one- ... See full document

... radial basis functions method [4], Haar wavelets [5] and integral mean value method [6] ...one dimensional linear Volterra-Fredholm integro-differential equations in ... See full document

... approximating functions based on wavelet basis ...solve integral equations lead us to solve the lin- ear systems, but the singularity of these systems may cause some ...such linear ... 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

... radial basis functions IMQ, IQ and GA satisfy the sufficient conditions of Theorem 1, whereas the MQ and linear RBFs satisfy the sufficient conditions of Theorem 2, and hence for these types of RBFs ... See full document

... and applications of fuzzy ...for solving linear Fredholm fuzzy integral equations of second kind by using parametric form of fuzzy number and converting a linear fuzzy ... See full document

... type Fredholm integral equation is a special kind of the inverse ...type Fredholm integral equation to solve the problem of ...computing. Fredholm integral equation of the first ... See full document

... fuzzy integral equations can be found in [1, 2, 6, 11, 13, 17, 18, 24, ...(for linear fuzzy Fredholm integral equations, see [17, 18]) and Adomian decomposition (see ... See full document

... of Fredholm and Volterra integral equations using Fibonacci polynomials with hat basis functions, in order to obtain a variational problem and reduce this one to a linear system, ... See full document

... Now, we present two illustrative example to show the accuracy and the convergence of the method. Comparing the error between calculated numer- ical results in introduced optimal method and classical trapezoidal ... See full document

... This section contains three examples of linear Fredholm integral equa- tions of second kind. In these examples, we illustrate the use of FNN technique to approximate the solutions of the given ... See full document

... Volterra integral equation and it is shown in ...to solving two-dimensional Fredholm integral equation (FIE) of the second kind in ... See full document

... In this paper, some new generalization of Darbo’s fixed point theorem is proved by using a F( ψ , ϕ )-contraction in terms of a measure of noncompactness. Our result extends to obtaining a common fixed point for a pair of ... See full document

... the two-dimensional sin- gular nonlinear mixed Volterra-Fredholm integral equations (V-FIE), which is deduced by using new strategy (combined Laplace homotopy perturbation method ... See full document

... The integral equation can be classified into two ...Volterra integral equation (VIE) where the Volterras important work in this area was done in 1884-1896 and the second, it called Fredholm ... See full document

... for solving Fredholm integral equations of the first ...the Fredholm equations of the first kind in the sense of ...the integral operator is self-adjoint and admits a set ... See full document