Numerical solution of differential equations by using Haar wavelets
By Zhi Shi, Li Deng, Qing-jiang Chen. International Conference on Wavelet Analysis and Pattern Recognition, 2007
149 citations recorded by the source corpus.
Subfields: Modeling and Simulation, Numerical Analysis, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/af6e20eb412b2f2430d9c2022ccb8e1caf73c4df
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In Modeling and Simulation
In Numerical Analysis
In Statistical and Nonlinear Physics
Citations in the corpus
- Application of the Haar wavelet transform to solving integral and differential equations (2007, methodology): “An outline of such papers can be found in [34,35].”
- Free vibrations of non-uniform and axially functionally graded beams using Haar wavelets (2011, background): “According to [18,19], a highest-order derivative is expanded into the Haar series instead of solving the differential equation.”
- A Comparative Study of a Haar Wavelet Method and a Restrictive Taylor's Series Method for Solving Convection-diffusion Equations (2010, methodology): “Recently, Lepik [17–19] established the Haar wavelet method for solving some ODEs and PDEs.”
- Wavelet Collocation Method for Optimal Control Problems (2009, background): “The wavelet applications in dealing with dynamic system problems, especially in solving partial differential equations with two-point boundary value constraints have been discussed in many papers [2-5].”