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Numerical solution of linear integro-differential equation by using sine–cosine wavelets |
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| Authors: | M Tavassoli Kajani M Ghasemi E Babolian |
| Institution: | aDepartment of Mathematics, Islamic Azad University, P.O. Box 81595-158, Khorasgan, Isfahan, Iran bFaculty of Mathematical Sciences and Computer Engineering, Teacher Training University, Tehran, Iran cDepartment of Mathematics, Shahre-Kord University, Shahre-Kord, Iran |
| Abstract: | We use the continuous sine–cosine wavelets on the interval 0, 1] to solve the linear integro-differential equation. To do so, we construct the quadrature formulae for the calculation of inner products of any functions, which are required in the approximation for the integro-differential equation. Then, we reduced the integro-differential equation to the solution of linear algebraic equations. |
| Keywords: | Integro-differential equation Sine–cosine wavelets Fourier functions Operational matrix |
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