Polynomial solution of high-order linear Fredholm integro-differential equations with constant coefficients. (English) Zbl 1202.65172
Summary: A practical matrix method is presented to find an approximate solution of high-order linear Fredholm integro-differential equations with constant coefficients under the initial-boundary conditions in terms of Taylor polynomials. The method converts the integro-differential equation to a matrix equation, which corresponds to a system of linear algebraic equations. Error analysis and illustrative examples are included to demonstrate the validity and applicability of the technique.
MSC:
| 65R20 | Numerical methods for integral equations |
| 45J05 | Integro-ordinary differential equations |
| 45A05 | Linear integral equations |
Keywords:
Taylor polynomials and series; Fredholm integro-differential equations; Taylor matrix method; numerical examplesReferences:
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