[PDF] Top 20 Approximate solution of a system of singular integral equations of the first kind by using Chebyshev polynomials

... The singular integral equations play important roles in physics and the- oretical mechanics, particularly in the areas of elasticity, aerodynamics, and unsteady aerofoil ...the system of ... See full document

... use Chebyshev polynomials method of the first kindof degree n to solve linear Volterra weakly singular integro- differential equations (LVWSIDEs) of the second ...weakly singular ... See full document

... by using the orthogonal Chebyshev polynomials to get approximate solutions for singular and hyper-singular integral equations of the first ...A singular ... See full document

... paper, Chebyshev polynomials of the first kind method is used to solve non linear weakly singular Fredholm integro-differential equations (NLFWSIDEs) of the second ... See full document

... Ya-Ping Liu and Lu Tao in [1] proposed quadrature methods and their extrapolation for solving Eq. (1.1). In [2], a method in order to solve the second kind singular Volterra integral equations ... See full document

... the Chebyshev 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

... tegral equations convert to a linear or nonlin- ear system and by solving the system the ap- proximate solution of the integral equation will be ...Bernstein polynomials in ... See full document

... a solution of second kind Volterra integral and integro-differential equations by using Bernstein polynomials method ...(BPM). First, we introduce the proposed method, ... See full document

... of Chebyshev polynomial of degree in It leads to a system of linear ...By solution of obtained system we have the approximate solution of Abel’s integral equation as For ... See full document

... Singular integral equations of the first kind have received considerable interest in the mathematical literatures, because of their many field of applications in different areas of ... See full document

... outer solution corresponds to the reduced problem, ...the Chebyshev method has been used to find the approxi- mate solutions of differential, difference, integral and integro-differential-difference ... See full document

... for approximate solution a system of Volterra integral equation of the first ...a system of Volterra integral equations to a system of Volterra integro- ... See full document

... Volterra equations using various polynomials [2], have been developed by many ...Bernstein polynomials in approximation techniques, Shahsavaran [5] solved by Block – Pulse functions and Taylor ... See full document

... mixed integral equation of the first kind of type Fredholm- Volterra in position and time, ...Fredholm integral term is considered in a variable position, in the space L 2 [  1 , 1 ] , and ... See full document

... numerical solution of singular integral equations by using Chebyshev polyno- mials of first, second, third and fourth kind to obtain systems of linear algebraic ... See full document

... Fredholm integral equations of the second kind (FFIE-2) by researchers [7, 15, ...such equations by using the embedding ...tegral equations with constant ...Volterra ... See full document

... Volterra integral equations of the first kind are replaced with equations of the second kind (precisely, integro-differential equation of the second kind) of Fredholm ...a ... See full document

... to approximate the solution of linear integral mixed Volterra- Fredholm equations of the second kind, with particular weakly singular ... See full document

... weakly singular Volterra integral equations of the first ...a system of fractional differential equations and analyze ... See full document

... type is then similar to the proposed interpretations for fractional integrals. [13] used Laplace transform to solve some linear fractional differential and integral equations. The procedure will be simple ... See full document