Spectral methods for pantograph-type differential and integral equations with multiple delays
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Publication:1022526
DOI10.1007/s11464-009-0010-zzbMath1396.65107OpenAlexW2057743217MaRDI QIDQ1022526
Hermann Brunner, Ishtiaq Ali, Tao Tang
Publication date: 22 June 2009
Published in: Frontiers of Mathematics in China (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11464-009-0010-z
convergence analysisdelay differential equationLegendre spectral methodVolterra functional integral equationmultiple vanishing delays
Numerical methods for integral equations (65R20) Numerical methods for initial value problems involving ordinary differential equations (65L05)
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Uses Software
Cites Work
- On pantograph integro-differential equations
- On the attainable order of collocation methods for the neutral functional-differential equations with proportional delays
- Properties of analytic solution and numerical solution of multi-pantograph equation
- Short proofs and a counterexample for analytical and numerical stability of delay equations with infinite memory
- On the generalized pantograph functional-differential equation
- On the asymptotics of solutions of a class of linear functional-differential equations
- Numerical Methods for Delay Differential Equations
- Collocation Methods for Volterra Integral and Related Functional Differential Equations
- Spectral Methods
- Optimal systems of nodes for Lagrange interpolation on bounded intervals. A survey
- Implementing Radau IIA methods for stiff delay differential equations
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