Satapathy, Gayatri (2012) *Asymptotic Expansion Method for Singular Perturbation Problem.* MSc thesis.

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## Abstract

The main purpose of this thesis is to address the application of perturbation expansion techniques for the solution perturbed problems, precisely differential equations. When a large or small parameter ‘"’ known as the perturbation parameter occurs in a mathematical

model, then the model problem is known as a perturbed problem. Asymptotic expansion technique is a method to get the approximate solution using asymptotic series

for model perturbed problems. The asymptotic series may not and often do not converge but in a truncated form of only two or three terms, provide a useful approximation to the

original problem. Though the perturbed differential equations can be solved numerically by using various numerical schemes, but the asymptotic techniques provide an awareness of the solution before one compute the numerical solution. Here, perturbation expansion for some model algebraic and differential equations are considered and the results are compared with the exact solution.

Item Type: | Thesis ( MSc) |
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Uncontrolled Keywords: | Perturbation, asymptotic |

Subjects: | Mathematics and Statistics > Applied Mathematics |

Divisions: | Sciences > Department of Mathematics |

ID Code: | 4133 |

Deposited By: | Hemanta Biswal |

Deposited On: | 13 Jun 2012 16:11 |

Last Modified: | 13 Jun 2012 16:11 |

Supervisor(s): | Mohapatra, J |

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