Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: , a spectral Tau method based on Legendre Wavelet basis is proposed. For this purpose  present a stable operational Tau method based on Legendre Wavelet basis. This method provides an efficient approximate solution for akly singular Volterra integral equations by using reduced set of matrix operations. An error estimation of the Tau method is also introduced. Finally  demonstrate the validity and applicability of the method by numerical examples.
['Reza Pourgholi', 'Ali Tahmasebi', 'Ruhangiz Azimi']
I am writing a research paper on a idea Tau approximate solution of weakly singular Volterra integral equations with Legendre wavelet basis
[{"from": "human", "value": "I am writing a research paper on a idea Tau approximate solution of weakly singular Volterra integral equations with Legendre wavelet basis"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: , a spectral Tau method based on Legendre Wavelet basis is proposed. For this purpose  present a stable operational Tau method based on Legendre Wavelet basis. This method provides an efficient approximate solution for akly singular Volterra integral equations by using reduced set of matrix operations. An error estimation of the Tau method is also introduced. Finally  demonstrate the validity and applicability of the method by numerical examples."}]