Partial Differential Equations An Introduction

2010/04/13 by A. D. R. Choudary, Saima Parveen, Choudary, A. D. R. +4 · 18 citations
Mathematics · #Analysis of PDEs (math.AP) #FOS: Mathematics #Numerical methods for differential equations #math.AP

paper · pdf · doi:10.48550/arxiv.1004.2134

204 pages

arxiv created 2010/04/13 · openalex publication_date 2010/04/13 · arxiv updated 2010/04/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This book encompasses both traditional and modern methods treating partial differential equation (PDE) of first order and second order. There is a balance in making a selfcontained mathematical text and introducing new subjects. The Lie algebras of vector fields and their algebraic-geometric representations are involved in solving overdetermined of PDE and getting integral representation of stochastic differential equations (SDE). It is addressing to all scientists using PDE in treating mathematical methods.

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Related

• An Introduction to Partial Differential Equations
• Algebraic Approaches to Partial Differential Equations
• A brief and personal history of stochastic partial differential equations
• Theory of characteristics for first order partial differential equations
• 2nd order PDEs: geometric and functional considerations