The use of cubic splines in the numerical solution of fractional differential equations (Q456541)
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scientific article; zbMATH DE number 6093843
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The use of cubic splines in the numerical solution of fractional differential equations |
scientific article; zbMATH DE number 6093843 |
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The use of cubic splines in the numerical solution of fractional differential equations (English)
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16 October 2012
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Summary: Fractional calculus became a vital tool in describing many phenomena appeared in physics, chemistry as well as engineering fields. Analytical solutions of many applications, where the fractional differential equations appear, cannot be established. Therefore, the cubic polynomial spline-function-based method combined with shooting method is considered to find approximate solution for a class of fractional boundary value problems (FBVPs). Convergence analysis of the method is considered. Some illustrative examples are presented.
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fractional differential equations
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cubic polynomial spline-function-based method
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