Abstract
In this article, we present a method for numerical approximation of fixed point operator, particularly for the integral one associated to a nonlinear mixed Fredholm–Volterra integral equation, which uses the properties of rationalized Haar wavelets. The main tools for error analysis is Banach fixed point theorem. Furthermore, the order of convergence is analyzed. The algorithm to compute the solutions and some numerical examples are included to support the theory.
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Erfanian, M., Gachpazan, M. Solving mixed Fredholm–Volterra integral equations by using the operational matrix of RH wavelets. SeMA 69, 25–36 (2015). https://doi.org/10.1007/s40324-015-0034-0
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DOI: https://doi.org/10.1007/s40324-015-0034-0
Keywords
- Nonlinear Fredholm
- Volterra integral equation
- Rationalized Haar wavelet
- Operational matrix
- Fixed point theorem
- Error analysis