Hybrid Functions of Lagrange Polynomials and Block-Pulse Functions for Solving Integro-partial Differential Equations
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We construct two-dimensional hybrid functions from Lagrange polynomials and block-pulse functions. Using special properties of the functions for evaluating integral and derivatives, we develop an efficient algorithm for solving two-dimensional integro-differential equations. Some numerical examples are given to demonstrate the performance of the method.
KeywordsHybrid methods Lagrange polynomials Block-pulse functions Integro-partial differential equations
Mathematics Subject Classification45-XX 45K05 34K10
- Saeedi H (2013) Application of Haar wavelets in solving nonlinear fractional Fredholm integro-differential equations. J Mahani Math Res Cent 2:15–28Google Scholar