[PDF] Top 20 Theory of block-pulse functions in numerical solution of Fredholm integral equations of the second ‎kind‎

... for numerical methods. The block-pulse is necessary to have an effective theoretical as- functions, because of their simple structure, are used in numerical solution of linear ... See full document

... a block-pulse function, which is given for solving nonlinear fuzzy Fredholm integral equations of the second kind and the error estimate of the approximation ...two ... See full document

... and numerical aspects of the Fredholm integral equation of the second kind due to their wide range of physical application such as heat conducting radiation, elasticity, potential ... See full document

... Electromagnetics, numerical methods for solving integral equations, electromagnetic theory, singular integral equa- tions, electromagnetic radiation and antenna, and propagation of ... See full document

... a numerical method is proposed for solving the fuzzy linear Fredholm integral equations of the second ...basis functions and collocation method to estimate a solution for ... See full document

... solve Fredholm-Volterra integral equation in two dimensional ...linear Fredholm- Volterra integral equation, Omran ...linear Fredholm-Volterra integro-differential ...Constant ... See full document

... generalizes Block-Pulse Functions method for solving systems of linear Volterra integral equations of the second ...with Block-Pulse Functions, reduces these ... See full document

... the solution of the problem is reduced to dual integral equations involving trigonometric cosine ...the solution of the dual integral equa- tions is transformed into the solution ... 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

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

... the numerical solution for solving system of linear Fredholm integral ...equations. Numerical results, compared with other methods such as the midpoint, Trapezoidal, Simpson, ... 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

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

... Abstract. In this work, we have presented a novel method to find the numerical solution of the linear Ferdholm integral equation of second kind. This method is based on the Taylor ... 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 dimension ... See full document

... the integral in this equation is a suitable one since convergence analysis and stability anal- ysis have been proved and also absolute error in example is ...fuzzy Fredholm integral ... See full document

... [7] C. Franke , R. Shaback, Solving Partial Differential Equations by collocation using Radial Basis Dunctions, Applied Mathematics and Computation, Volume 93, Issue 1 (1998) , pp. 73-82. [8] I. M. Gelfand, S.V. ... See full document

... any solution f (x) of equation (1.5) there corresponds another solution f (x) + αψ(x), where α is ...unique solution, for arbitrary g(x), and hence that λ is a regular value (see Baker (1977), ... See full document

... basis functions that are necessary for the formulation of the dis- crete ...the solution of 1.1. As a result, a set of algebraic equations is achieved and the solution of the considered prob- ... See full document

... Introduction In this chapter we consider the solution of the second kind equation when the kernel is of the form 1 where m is smooth and o has an integrable singularity typically The tw[r] ... See full document