Computational Methods for Solving System of Volterra Integral Equation
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Computational Methods for Solving System of Volterra Integral Equation

Computational Methods for Solving System of Volterra Integral Equation


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About the Book

In this work the existence and uniqueness theorem for single linear Volterra integral equation has been generalized to a system of linear Volterra integral equation of the second kind. Depending on Banach fixed point theorem, some new results have been proved.Also, a Taylor series expansion has been considered to solve a system of linear Volterra integral equations of the second kind and a system of linear Volterra integro-differential equations of the second kind.In addition, three different types of iterative methods have been formulated to solve above systems. Furthermore, we derive a new iterative method named by "modified successive approximation method" to solve above systems. By this modification a faster rate of convergence for the successive method is established. Also, we proved a new theorem about the existence, uniqueness and convergence of this method. Two different kinds of weighted residual methods have been applied to treat the above systems. Moreover, the spectral method has been modified and applied for solving the above systems.


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Product Details
  • ISBN-13: 9783844330755
  • Publisher: Lap Lambert Academic Publishing
  • Binding: Paperback
  • Language: English
  • Returnable: N
  • Spine Width: 10 mm
  • Width: 152 mm
  • ISBN-10: 3844330755
  • Publisher Date: 17 Apr 2011
  • Height: 229 mm
  • No of Pages: 164
  • Series Title: English
  • Weight: 299 gr


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Computational Methods for Solving System of Volterra Integral Equation
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