Numerical solution of linear Fredholm and volterra integral equation of the second kind by using Legendre wavelets.

التفاصيل البيبلوغرافية
العنوان: Numerical solution of linear Fredholm and volterra integral equation of the second kind by using Legendre wavelets.
المؤلفون: K Maleknejad, M Tavassoli Kajani, Y Mahmoudi
المصدر: Kybernetes; 2003, Vol. 32 Issue 9/10, p1530-1539, 10p
مصطلحات موضوعية: INTEGRAL equations, FUNCTIONAL equations, WAVELETS (Mathematics), HARMONIC analysis (Mathematics), VOLTERRA equations
مستخلص: Uses the continuous Legendre wavelets on the interval [0,1) in the manner of M. Razzaghi and S. Yousefi, to solve the linear second kind integral equations. We use quadrature formula for the calculation of inner products of any functions, which are required in the approximation for the integral equations. Then, we reduced the integral equation to the solution of linear algebraic equations. [ABSTRACT FROM AUTHOR]
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قاعدة البيانات: Complementary Index