{"product_id":"convergence-and-stability-of-modified-adomian-decomposition-method-theory-and-computations-for-mixed-hyperbolic-elliptic-systems-of-conservation-laws-384844948x","title":"Convergence and Stability of Modified Adomian Decomposition Method: Theory and Computations for Mixed Hyperbolic-Elliptic Systems of Conservation Laws","description":"\u003cp\u003e\u003cstrong\u003eISBN:\u003c\/strong\u003e 384844948X\u003c\/p\u003e\u003cp\u003e\u003cstrong\u003eAuthor:\u003c\/strong\u003e Az-Zo'bi, Emad\u003c\/p\u003e\u003cp\u003e\u003cstrong\u003eCondition:\u003c\/strong\u003e New\u003c\/p\u003e\u003cp\u003eAdomian decomposition procedure is developed for systems of balance laws (conservation laws with source term). A new formula of Adomian polynomials is introduced. Based on this new formula and using the Banach fixed point theorem, we prove the convergence and stability of a new modification. We show that our modification is stable in several cases. Our method is powerful and efficient that gives approximations of higher accuracy and closed form solutions if existing. The analysis will be illustrated by several systems, like Van der Waals equations in fluid dynamics.\u003c\/p\u003e","brand":"Mia Karts","offers":[{"title":"Default Title","offer_id":51931574796576,"sku":"NEW384844948X","price":78.0,"currency_code":"USD","in_stock":true}],"url":"https:\/\/miakarts.com\/products\/convergence-and-stability-of-modified-adomian-decomposition-method-theory-and-computations-for-mixed-hyperbolic-elliptic-systems-of-conservation-laws-384844948x","provider":"Miakarts Books","version":"1.0","type":"link"}