A Direct Method for Solving The Volterra Integral Equation Of The First Kind Using The Black Bales Function Matrix BPF
Keywords:
Equation Volterra Complementarity From Type The First, Sentence Trigonometry, Minions Black Palsblock-Pulse, Formulas Actinomycetes, Matrix Processes
Abstract
This research deals with a method directly And effective to solve equation Volterra Complementarity from Type the first.And that using Minions Black BalzBlock-Pulse Functions Which is called for shortBPFAnd matrix Processes Complementarity Private With it, The main idea in this method she shorthand The equation Complementarity from Type the first And convert it to sentence Trigonometric Bottom Sin maybe solve it directly on road replacement (compensation) Front.will Complete presentation some Examples To clarify efficiency And accuracy method proposed.
References
[1] AN Tikhonov, VY Arsenin, Solutions of Ill-posed Problems, Winston, Washington, DC, 1977.
[2] Bartoshevich MA. On a heat conduction problem. Inz- Fiz Z 1975;28:340–6.
[3] Baratella P. A Nystrom interpolant for some weakly singular linear Volterra integral equations. Comput Appl Math 2009;231:725–34.
[4] E. Babolian, L.M. Delves, An augmented Galerkin method for first-kind Fredholm equations, J. Inst. Math. Appl. 24 (1979) 157–174.
[5] K. Maleknejad, N. Aghazadeh, R. Mollapourasl, Numerical solution of Fredholm integral equation of the first kind with collocation method and estimation of error bound, Appl. Math. Compute. 179(2006) 352–359.
[6] K. Maleknejad, H. Derili, Numerical solution of integral equations by using combination of Spline-collocation method and Lagrange interpolation, Appl. Math. Compute. 175 (2006) 1235–1244.
[7] MT Rashed, An expansion method to treat integral equations, Appl. Math. Compute. 135 (2003) 65–72.
[8] PK Kythe, P. Puri, Computational Methods for Linear Integral Equations, Birkhäuser, Boston, 2002.
[2] Bartoshevich MA. On a heat conduction problem. Inz- Fiz Z 1975;28:340–6.
[3] Baratella P. A Nystrom interpolant for some weakly singular linear Volterra integral equations. Comput Appl Math 2009;231:725–34.
[4] E. Babolian, L.M. Delves, An augmented Galerkin method for first-kind Fredholm equations, J. Inst. Math. Appl. 24 (1979) 157–174.
[5] K. Maleknejad, N. Aghazadeh, R. Mollapourasl, Numerical solution of Fredholm integral equation of the first kind with collocation method and estimation of error bound, Appl. Math. Compute. 179(2006) 352–359.
[6] K. Maleknejad, H. Derili, Numerical solution of integral equations by using combination of Spline-collocation method and Lagrange interpolation, Appl. Math. Compute. 175 (2006) 1235–1244.
[7] MT Rashed, An expansion method to treat integral equations, Appl. Math. Compute. 135 (2003) 65–72.
[8] PK Kythe, P. Puri, Computational Methods for Linear Integral Equations, Birkhäuser, Boston, 2002.
Published
2024-06-14
How to Cite
Abbas, A. N. (2024). A Direct Method for Solving The Volterra Integral Equation Of The First Kind Using The Black Bales Function Matrix BPF. Central Asian Journal of Medical and Natural Science, 5(3), 562-569. Retrieved from https://cajmns.centralasianstudies.org/index.php/CAJMNS/article/view/2483
Section
Articles
Copyright (c) 2024 Aseel Najeh Abbas
This work is licensed under a Creative Commons Attribution 4.0 International License.
