In this thesis that consists of six chapters, Onsager diferantial equation is solved with Diferantial Transformation Method and Adomian Decomposition Method, Pad approximation method is applied to the solutions that obtained from these methods. In rst chapter, some denitions about diferential equations are given with examples. In second chapter, DiPerential Tranformation Method is introduced. Denitions and theorems about One Dimensional and Two Dimensionals is introduced. In third chapter, Adomian Decomposition Method a appropriatable method for numerical solution of ordinary, partial and equation systems is introduced. In forth chapter, information about Pad Approximation is given. Onsager diPerential equation, a sixth degree pancake equation, and literature working about this equation is given in .fth section. In addition Diferential Transformation and Adomian Decomposition Methods is applied to Onsager diferential equation. Pad approximation method is applied to the solutions that obtained from these methods. Graphics and tables interested in these are formed. Last chapter is discussion and conclusion. Keywords: Onsager DiPerential Equation, DiPerential Transformation Method, Adomian Decomposition Method, Pad Approximation.
Tez (Yüksek Lisans) - Süleyman Demirel Üniversitesi, Fen Bilimleri Enstitüsü, Matematik, 2010.
Kaynakça var.
In this thesis that consists of six chapters, Onsager diferantial equation is solved with Diferantial Transformation Method and Adomian Decomposition Method, Pad approximation method is applied to the solutions that obtained from these methods. In rst chapter, some denitions about diferential equations are given with examples. In second chapter, DiPerential Tranformation Method is introduced. Denitions and theorems about One Dimensional and Two Dimensionals is introduced. In third chapter, Adomian Decomposition Method a appropriatable method for numerical solution of ordinary, partial and equation systems is introduced. In forth chapter, information about Pad Approximation is given. Onsager diPerential equation, a sixth degree pancake equation, and literature working about this equation is given in .fth section. In addition Diferential Transformation and Adomian Decomposition Methods is applied to Onsager diferential equation. Pad approximation method is applied to the solutions that obtained from these methods. Graphics and tables interested in these are formed. Last chapter is discussion and conclusion. Keywords: Onsager DiPerential Equation, DiPerential Transformation Method, Adomian Decomposition Method, Pad Approximation.