[PDF] Top 20 Numerical Solution of Second Kind Volterra and Fredholm Integral Equations Based on a Direct Method Via Triangular Functions

... solving integral and integro-differential equations, because a great number of problems in physi- cal science and engineering are modeled by such equations [6, 5, 2, 15, 11, 13, 16, 17, 9, 3, 10, 4, ... See full document

... basis functions method [4], Haar wavelets [5] and integral mean value method [6] ...ponding numerical stability analyses in the literatures [9] [10] ...linear ... See full document

... block-pulse functions (BPFs) are used in solving electromagnetic scattering problem, which are modeled as linear Fredholm integral equations (FIEs) of the second ...this method ... See full document

... of equations can not be solved analytically. Also, there is the numerical method for solving the stochastic volterra-fredholm integral equations by using properties of the ... See full document

... basis functions (RBFs) method has become known as a powerful tool for the scattered data interpolation prob- ...basis functions is that they involve a single independent variable regardless of the ... 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 ... See full document

... finding numerical solution of Linear mixed Volterra-Fredholm integral equations of the second kind (LMVFIE's) are introduced to solve (LMVFIE's) based on ... See full document

... by numerical examples, the method in- troduced here can be simply implemented to gen- eral nonlinear integral equations of the second ... See full document

... computational method for solving nonlinear Fredholm-Volterra integral equations of the second kind which is based on replacement of the unknown function by ... See full document

... solving Volterra-Fredholm integral equations, many methods with enough accuracy and efficiency have been used before by many researches [6, 7, 8, 9, 10, 11, 12, 13, 14, ...of ... See full document

... is Fredholm integral term and second integral in ...is Volterra integral ...unique solution f (x) [11, 7]. Several numerical methods have been applied for solving ... See full document

... of Volterra–Fredholm integral equation and in Section 3, we introduce regularization technique to transform mixed system (1) into the system of second kind integral ...a ... See full document

... fuzzy integral equations which is growing interest for some time, in par- ticular in relation to fuzzy control, have been rapidly developed in recent ...fuzzy integral equations requires ... See full document

... linear second kind integral ...any functions, which are required in the approximation for the integral ...the integral equation to the solution of linear algebraic ... See full document

... computational method to approximate so- lution of nonlinear mixed Volterra-Fredholm integral equations of the second kind, based on the expansion of the ... See full document

... expansion-iterative method for solving second kind linear Volterra integral ...The method is based on a special representation of vector forms of triangular ... See full document

... Integral equations appear in mathematical modeling of different disciplines such a biology, chemistry, physics, en- ...many numerical methods for ap- proximating the solution of ... See full document

... iteration method (VIM) and modified varia- tional iteration method (MVIM) for approximate solution a system of Volterra integral equation of the first ...of Volterra ... See full document

... to integral equations of linear or nonlinear case, see ...These integral equations with continuous or discontinuous kernels have received considerable interest in mathematical applications in ... See full document

... [6] N. Eggert, M. Jarrat and J. Lund, “Sinc Function Compu- tation of the Eigenvalues of Sturm—Liouville Problems,” Journal of Computational Physics, Vol. 69, No. 1, 1987, pp. 209-229. doi:10.1016/0021-9991(87)90163-X ... See full document