Biorthogonal Systems Approximating the Solution of the Nonlinear Volterra Integro-Differential Equation
<p/> <p>This paper deals with obtaining a numerical method in order to approximate the solution of the nonlinear Volterra integro-differential equation. We define, following a fixed-point approach, a sequence of functions which approximate the solution of this type of equation, due to so...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2010-01-01
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| Series: | Fixed Point Theory and Applications |
| Online Access: | http://www.fixedpointtheoryandapplications.com/content/2010/470149 |
| Summary: | <p/> <p>This paper deals with obtaining a numerical method in order to approximate the solution of the nonlinear Volterra integro-differential equation. We define, following a fixed-point approach, a sequence of functions which approximate the solution of this type of equation, due to some properties of certain biorthogonal systems for the Banach spaces <inline-formula> <graphic file="1687-1812-2010-470149-i1.gif"/></inline-formula> and <inline-formula> <graphic file="1687-1812-2010-470149-i2.gif"/></inline-formula>.</p> |
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| ISSN: | 1687-1820 1687-1812 |