{"product_id":"computational-methods-for-solving-system-of-volterra-integral-equation-von-rostam-k-saeed-und-omer-m-al-faour","title":"Computational Methods for Solving System of Volterra Integral Equation","description":"\u003cp\u003eIn 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.\u003c\/p\u003e\u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9783844330755\"\u003e\u003ch3\u003eComputational Methods for Solving System of linear Volterra Integral and Integro-differential  Equations\u003c\/h3\u003e\u003c\/div\u003e","brand":"Autorenwelt Shop","offers":[{"title":"Softcover - 9783844330755","offer_id":39470133084253,"sku":"9783844330755","price":68.0,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0940\/0622\/files\/207577d3-d99a-4d07-8483-d5150accc57a.jpg?v=1757826106","url":"https:\/\/shop.autorenwelt.de\/en\/products\/computational-methods-for-solving-system-of-volterra-integral-equation-von-rostam-k-saeed-und-omer-m-al-faour","provider":"Autorenwelt Shop","version":"1.0","type":"link"}