Approximate Solutions for a Class of Nonlinear Fredholm and Volterra Integro-Differential Equations Using the Polynomial Least Squares Method
Keyword(s):
We apply the polynomial least squares method to obtain approximate analytical solutions for a very general class of nonlinear Fredholm and Volterra integro-differential equations. The method is a relatively simple and straightforward one, but its precision for this type of equations is very high, a fact that is illustrated by the numerical examples presented. The comparison with previous approximations computed for the included test problems emphasizes the method’s simplicity and accuracy.
2017 ◽
Vol 448
(1)
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pp. 401-408
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2014 ◽
Vol 2014
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pp. 1-5
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2017 ◽
Vol 72
(6)
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pp. 547-557
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2014 ◽
Vol 2014
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pp. 1-11
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