Solving a System of Linear Volterra Integral Equations Using the Modified Reproducing Kernel Method
Solving a System of Linear Volterra Integral Equations Using the Modified Reproducing Kernel Method
A numerical technique based on reproducing kernel methods for the exact solution of linear Volterra integral equations system of the second kind is given. The traditional reproducing kernel method requests that operator a satisfied linear operator equation<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M1"><mml:mrow><mml:mi>A</mml:mi><mml:mi>u</mml:mi><mml:mo>=</mml:mo><mml:mi>f</mml:mi></mml:mrow></mml:math>, is bounded and its image space is the reproducing kernel space<mml:math …