Conformal mappings versus other power series methods for solving ordinary differential equations: illustration on anharmonic oscillators

Journal of Physics A Mathematical and Theoretical ◽

10.1088/1751-8113/42/48/485202 ◽

2009 ◽

Vol 42 (48) ◽

pp. 485202 ◽

Author(s):

C Bervillier

Keyword(s):

Power Series ◽

Differential Equations ◽

Ordinary Differential Equations ◽

Conformal Mappings ◽

Anharmonic Oscillators ◽

Power Series Methods

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Power series methods of solving ordinary differential equations (5) – Legendre’s equation and Legendre’s polynomials

Mathematics Pocket Book for Engineers and Scientists ◽

10.1201/9780429294402-159 ◽

2019 ◽

pp. 407-408

Author(s):

John Bird

Keyword(s):

Power Series ◽

Differential Equations ◽

Ordinary Differential Equations ◽

Power Series Methods

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Power series methods of solving ordinary differential equations (3) – Frobenius method

Mathematics Pocket Book for Engineers and Scientists ◽

10.1201/9780429294402-157 ◽

2019 ◽

pp. 403-406

Author(s):

John Bird

Keyword(s):

Power Series ◽

Differential Equations ◽

Ordinary Differential Equations ◽

Frobenius Method ◽

Power Series Methods

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Power series methods of solving ordinary differential equations

Higher Engineering Mathematics ◽

10.4324/9780080470955-71 ◽

2007 ◽

pp. 509-529

Keyword(s):

Power Series ◽

Differential Equations ◽

Ordinary Differential Equations ◽

Power Series Methods

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Power series methods of solving ordinary differential equations

Higher Engineering Mathematics ◽

10.1201/9781315265025-55 ◽

2017 ◽

pp. 577-600

Keyword(s):

Power Series ◽

Differential Equations ◽

Ordinary Differential Equations ◽

Power Series Methods

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Power series methods of solving ordinary differential equations (6) – Rodrigue’s formula

Mathematics Pocket Book for Engineers and Scientists ◽

10.1201/9780429294402-160 ◽

2019 ◽

pp. 408-409

Author(s):

John Bird

Keyword(s):

Power Series ◽

Differential Equations ◽

Ordinary Differential Equations ◽

Power Series Methods

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Power series methods of solving ordinary differential equations (4) – Bessel’s equation

Mathematics Pocket Book for Engineers and Scientists ◽

10.1201/9780429294402-158 ◽

2019 ◽

pp. 406-407

Author(s):

John Bird

Keyword(s):

Power Series ◽

Differential Equations ◽

Ordinary Differential Equations ◽

Power Series Methods

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Power series methods of solving ordinary differential equations (2) – Leibniz-Maclaurin method

Mathematics Pocket Book for Engineers and Scientists ◽

10.1201/9780429294402-156 ◽

2019 ◽

pp. 401-402

Author(s):

John Bird

Keyword(s):

Power Series ◽

Differential Equations ◽

Ordinary Differential Equations ◽

Power Series Methods

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Power series methods of solving ordinary differential equations (1) – Leibniz theorem

Mathematics Pocket Book for Engineers and Scientists ◽

10.1201/9780429294402-155 ◽

2019 ◽

pp. 400-401

Author(s):

John Bird

Keyword(s):

Power Series ◽

Differential Equations ◽

Ordinary Differential Equations ◽

Power Series Methods

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Power series methods of solving ordinary differential equations

Bird's Higher Engineering Mathematics ◽

10.1201/9781003124221-52 ◽

2021 ◽

pp. 578-600

Author(s):

John Bird

Keyword(s):

Power Series ◽

Differential Equations ◽

Ordinary Differential Equations ◽

Power Series Methods

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Power series methods of solving ordinary differential equations

Higher Engineering Mathematics ◽

10.4324/9780080962122-50 ◽

2010 ◽

pp. 511-532

Keyword(s):

Power Series ◽

Differential Equations ◽

Ordinary Differential Equations ◽

Power Series Methods

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