Numerical solutions to partial differential equations with finite difference methods Zhi-Zhong Sun, Qifeng Zhang, Guang-hua Gao

Format:

Book

Author/Creator:

Sun, Zhi-Zhong, author.

Zhang, Qifeng (Of Zhejiang li gong da xue), author.

Gao, Guang-hua, author.

Series:

Springer Asia Pacific mathematics series ; v. 9.

Springer Asia Pacific mathematics series Volume 9

Language:

English

Subjects (All):

Differential equations, Partial--Numerical solutions.

Differential equations, Partial.

Finite differences.

Physical Description:

1 online resource

Place of Publication:

Singapore Springer [2026]

Summary:

"This book presents finite difference methods for three types of classical linear PDEs, three types of nonlinear PDEs and fractional PDEs. Specific topics cover two-point boundary value problems, elliptic equations, parabolic equations, hyperbolic equations, high-dimensional evolution equations, Schr\''{o}dinger equations, the Burgers' equation, the Korteweg-de Vries equation, and fractional diffusion-wave equations"-- Springer Nature Link

Contents:

Finite difference methods for two-point boundary value problems

Finite difference methods for elliptic equations

Finite difference methods for parabolic equations

Finite difference methods for hyperbolic equations

Alternating direction implicit methods for high-dimensional evolution equations

Finite difference methods for fractional differential equations

Finite difference methods for the Schrödinger equation

Finite difference methods for the Burgers’ equation

Finite difference methods for the Korteweg-de Vries equation

Notes:

Includes bibliographical references and index

Online resource; title from PDF title page (Springer Nature Link, viewed June 4, 2026)

Other Format:

Print version Sun, Zhi-Zhong Numerical solutions to partial differential equations with finite difference methods

ISBN:

9789819555635

9819555639

OCLC:

1593568727

Access Restriction:

Restricted for use by site license