Handbook of linear partial differential equations for engineers and scientists. (2015)

• Record Type: Book
• Further Information: Note: Andrei D. Polyanin, Vladimir E. Nazaikinskii.
• Authors: Poli︠a︡nin, A. D (Andreĭ Dmitrievich); Nazaĭkinskiĭ, V. E
• Contents: Exact Solutions First-Order Equations with Two Independent Variables; Equations of the Form f (x, y )∂w/∂x + g (x, y )∂w/∂y = 0; Equations of the Form f (x, y )∂w/∂x + g (x, y )∂w/∂y = h (x, y ); Equations of the Form f (x, y )∂w/∂x + g (x, y )∂w/∂y = h (x, y )w ; Equations of the Form f (x, y )∂w/∂x + g (x, y )∂w/∂y = h 1 (x, y )w + h 0 (x, y ) First-Order Equations with Three or More Independent Variables; Equations of the Form f (x, y, z )∂w/∂x + g (x, y, z )∂w/∂y + h (x, y, z )∂w/∂z = 0; Equations of the Form f 1 ∂w/∂x + f 2 ∂w/∂y + f 3 ∂w/∂z = f 4, fn = fn (x, y, z ); Equations of the Form f 1 ∂w/∂x + f 2 ∂w/∂y + f 3 ∂w/∂z = f 4 w, fn = fn (x, y, z ); Equations of the Form f 1 ∂w/∂x + f 2 ∂w/∂y + f 3 ∂w/∂z = f 4 w + f 5, fn = fn (x, y, z ) Second-Order Parabolic Equations with One Space Variable; Constant Coefficient Equations; Heat Equation with Axial or Central Symmetry and Related Equations; Equations Containing Power Functions and Arbitrary Parameters; Equations Containing Exponential Functions and Arbitrary Parameters; Equations Containing Hyperbolic Functions and Arbitrary Parameters; Equations Containing Logarithmic Functions and Arbitrary Parameters; Equations Containing Trigonometric Functions and Arbitrary Parameters; Equations Containing Arbitrary Functions; Equations of Special Form Second-Order Parabolic Equations with Two Space Variables; Heat Equation ∂w/∂t = a∆2 w ; Heat Equation with a Source ∂w/∂t = a∆2 w + Փ(x, y, t ); Other Equations Second-Order Parabolic Equations with Three or More Space Variables; Heat Equation ∂w/∂t = a∆3 w ; Heat Equation with Source ∂w/∂t = a∆3 w + Փ(x, y, z, t ); Other Equations with Three Space Variables; Equations with n Space Variables Second-Order Hyperbolic Equations with One Space Variable; Constant Coefficient Equations; Wave Equation with Axial or Central Symmetry; Equations Containing Power Functions and Arbitrary Parameters; Equations Containing the First Time Derivative; Equations Containing Arbitrary Functions Second-Order Hyperbolic Equations with Two Space Variables; Wave Equation ∂2 w/∂t2 = a2 ∆2 w ; Nonhomogeneous Wave Equation ∂2 w/∂t2 = a2 ∆2 w + Փ(x, y, t ); Equations of the Form ∂2 w/∂t2 = a2 ∆2 w − bw + Փ(x, y, t ); Telegraph Equation ∂2 w/∂t2 + k(∂w/∂t) = a2 ∆2 w − bw + Փ(x, y, t ); Other Equations with Two Space Variables Second-Order Hyperbolic Equations with Three or More Space Variables; Wave Equation ∂2 w/∂t2 = a2 ∆3 w ; Nonhomogeneous Wave Equation ∂2 w/∂t2 = a2 ∆3 + Փ(x, y, z, t )Equations of the Form ∂2 w/∂t2 = a2 ∆3 w − bw + Փ(x, y, z, t ); Telegraph Equation ∂2 w/∂t2 + k(∂w/∂t) = a2 ∆3 w − bw + Փ(x, y, z, t )) ; Other Equations with Three Space Variables; Equations with n Space Variables Second-Order Elliptic Equations with Two Space Variables; Laplace Equation ∆2 w = 0; Poisson Equation ∆2 w = − Փ(x ); Helmholtz Equation ∆2 w + λw = − Փ(x ); Other Equations Second-Order Elliptic Equations with Three or More Space Variables; Laplace Equation ∆3 w = 0; Poisson Equation ∆3 w = − Փ(x ); Helmholtz Equation ∆3 w + λw = − Փ(x ); Other Equations with Three Space Variables; Equations with n Space Variables Higher-Order Partial Differential Equations; Third-Order Partial Differential Equations; Fourth-Order One-Dimensional Nonstationary Equations; Two-Dimensional Nonstationary Fourth-Order Equations; Three- and n -Dimensional Nonstationary Fourth-Order Equations; Fourth-Order Stationary Equations; Higher-Order Linear Equations with Constant Coefficients; Higher-Order Linear Equations with Variable Coefficients Systems of Linear Partial Differential Equations; Preliminary Remarks. Some Notation and Helpful Relations; Systems of Two First-Order Equations; Systems of Two Second-Order Equations; Systems of Two Higher-Order Equations; Simplest Systems Containing Vector Functions and Operators div and curl; Elasticity Equations; Stokes Equations for Viscous Incompressible Fluids; Oseen Equations for Viscous Incompressible Fluids; Maxwell Equations for Viscoelastic Incompressible Fluids; Equations of Viscoelastic Incompressible Fluids (General Model); Linearized Equations for Inviscid Compressible Barotropic Fluids; Stokes Equations for Viscous Compressible Barotropic Fluids; Oseen Equations for Viscous Compressible Barotropic Fluids; Equations of Thermoelasticity; Nondissipative Thermoelasticity Equations (the Green–Naghdi Model); Viscoelasticity Equations; Maxwell Equations (Electromagnetic Field Equations); Vector Equations of General Form; General Systems Involving Vector and Scalar Equations: Part I;
• Edition: Second edition
• Publisher Details: Boca Raton : Chapman & Hall/CRC
• Publication Date: 2015
• Extent: 1 online resource
• Subjects: 515.354; Differential equations, Partial; Differential equations, Partial -- Numerical solutions
• Languages: English
• ISBNs: 9781466581494
• Notes: Note: Description based on CIP data; resource not viewed.
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.