Haar wavelet method for some nonlinear Volterra integral equations of the first kind

• Solving some nonlinear first kind Volterra integral equations using Haar wavelet.
• Haar wavelet method is simple and fast.
• Solved examples demonstrate the accuracy and efficiency of the present method.
• Present method gives better results than the numerical methods described in past.
• Necessary accuracy may be obtained by increasing the number of calculation points.

We present here a simple efficient Haar wavelet method for numerical solution of a class of nonlinear Volterra integral equations of the first kind. The present method is based on converting nonlinear Volterra integral equations of the first kind into linear Volterra integral equations of the second kind. Numerical examples are given to illustrate efficiency and accuracy of the present method. Comparison with numerical methods in the past has also been done.