تعداد نشریات | 418 |
تعداد شمارهها | 9,997 |
تعداد مقالات | 83,560 |
تعداد مشاهده مقاله | 77,801,313 |
تعداد دریافت فایل اصل مقاله | 54,843,933 |
Numerical solution of functional integral equations by using B-splines | ||
Journal of Linear and Topological Algebra | ||
مقاله 8، دوره 01، شماره 01، خرداد 2012، صفحه 45-53 اصل مقاله (176.89 K) | ||
نویسندگان | ||
R. Firouzdor* 1؛ A. Heidarnejad Khoob2؛ Z. Mollaramezani3 | ||
1Department of Mathematics, Islamic Azad University and Young Researcher Club, Central Tehran Branch, Tehran, Iran | ||
2Department of Mathematics, Islamic Azad University, Tehran, Iran | ||
3Department of Mathematics, Payameh noor university, New City Hashgerd, Hashgerd, Iran | ||
چکیده | ||
This paper describes an approximating solution, based on Lagrange interpolation and spline functions, to treat functional integral equations of Fredholm type and Volterra type. This method can be extended to functional differential and integro-differential equations. For showing efficiency of the method we give some numerical examples. | ||
کلیدواژهها | ||
Lagrange interpolation؛ B-spline functions؛ Functional integral equation | ||
مراجع | ||
[1] Amirfakhrian M., Firouzdor R., Mollaramezani Z., Zero B-Spline Approximation Method for Functional Integral Equations, Advances in Applied Phisics and Materials Science Congress, Antalya(Turkey), Appl.Math, (2011), 12-15.
[2] Arndt H., Numerical solution of retarded initial value problems: local and global error and stepsize control, Numer. Math., 43(1984), 343-360.
[3] Delves L.M. and Mohammed J.L., Computational Methods For Integral Equations, Cambridge University Press, Cambridge, (1985).
[4] El-Gendi S.E., Chebyshev solution of a class of functional equations, Comp. Society of India, Math. Appl., 8(1971), 271-307.
[5] Fox L., Mayers D.F., Ockendon J.R. and Taylor A.B., Ona functional dierential equation, J. Inst. Math. Appl., 8(1971), 271-307.
[6] Maleknejad K. and Derili H., Numerical Solution of Integral Equations by Using Combination of Spline-Collocation Method and Lagrange Interpolation, Applied Mathematics and Computation.
[7] Rashed M.T., Numerical solution of functional dierential, integral and integro-differential equations, Applied Mathematics and Computation, 156(2004), 485-492.
[8] Rashed M.T., An Expansion Method To Treat Integral Equations, Applied Mathematics and Computation, 135(2003), 73-79.
[9] Stoer J.and Bulirsch R., Introduction to the Numerical Analysis, Springer-Verlag, (2002).
[10] Schumaker L.L., Spline Functions:Basic Theory, John Wiley, New York, (1981).
[11] Zennaro M., Natural continuous extension of Runge-Kutta methods, Math. Comput., 46(1986), 119-133. | ||
آمار تعداد مشاهده مقاله: 7,333 تعداد دریافت فایل اصل مقاله: 5,361 |