A new Bernoulli matrix method for solving high-order linear and nonlinear Fredholm integro-differential equations with piecewise intervals
This article develops an efficient direct solver for solving numerically the high-order linear Fredholm integro-differential equations (FIDEs) with piecewise intervals under initial-boundary conditions. A Bernoulli matrix approach is implemented for solving linear and nonlinear FIDEs with piecewise...
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| Veröffentlicht in: | Applied mathematics and computation 2012-10, Vol.219 (2), p.482-497 |
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| container_title | Applied mathematics and computation |
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| creator | Bhrawy, A.H. Tohidi, E. Soleymani, F. |
| description | This article develops an efficient direct solver for solving numerically the high-order linear Fredholm integro-differential equations (FIDEs) with piecewise intervals under initial-boundary conditions. A Bernoulli matrix approach is implemented for solving linear and nonlinear FIDEs with piecewise intervals under initial boundary conditions. The main characteristic behind this approach is that it reduces such problem to those of solving a system of algebraic equations. A small number of Bernoulli polynomials is needed to obtain a satisfactory result. Numerical results with comparisons are given to confirm the reliability of the proposed method for solving FIDEs with piecewise intervals. |
| doi_str_mv | 10.1016/j.amc.2012.06.020 |
| format | Article |
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A Bernoulli matrix approach is implemented for solving linear and nonlinear FIDEs with piecewise intervals under initial boundary conditions. The main characteristic behind this approach is that it reduces such problem to those of solving a system of algebraic equations. A small number of Bernoulli polynomials is needed to obtain a satisfactory result. Numerical results with comparisons are given to confirm the reliability of the proposed method for solving FIDEs with piecewise intervals.</abstract><doi>10.1016/j.amc.2012.06.020</doi><tpages>16</tpages></addata></record> |
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| ispartof | Applied mathematics and computation, 2012-10, Vol.219 (2), p.482-497 |
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| source | Elsevier ScienceDirect Journals |
| subjects | Algebra Boundary conditions Computation Intervals Mathematical analysis Mathematical models Nonlinearity Solvers |
| title | A new Bernoulli matrix method for solving high-order linear and nonlinear Fredholm integro-differential equations with piecewise intervals |
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