Second-generation wavelet optimized finite difference method (SGWOFD) for solution of Burger’s equation with different boundary conditions

DOI10.1142/S0219691318500327zbMath1395.65033OpenAlexW2792833511MaRDI QIDQ4571057

Deepika Sharma, Kavita Goyal

Publication date: 6 July 2018

Published in: International Journal of Wavelets, Multiresolution and Information Processing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219691318500327

zbMATH Keywords

second-generation waveletspartial differential equationsadaptive gridmultiresolution analysis (MRA)wavelet based numerical methods

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) KdV equations (Korteweg-de Vries equations) (35Q53) Numerical methods for wavelets (65T60) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50)

Related Items

A Novel Wavelet-Homotopy Galerkin Method for Unsteady Nonlinear Wave Equations, A curvelet method for numerical solution of partial differential equations, A Matlab suite for second generation wavelets on an interval and the corresponding adaptive grid, Numerical study of partial differential equations by an adaptive diffusion wavelet method

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A multiresolution prewavelet-based adaptive refinement scheme for RBF approximations of nearly singular problems
• A Haar wavelet quasilinearization approach for numerical simulation of Burgers' equation
• An adaptive wavelet-vaguelette algorithm for the solution of PDEs
• An adaptive wavelet collocation method for the solution of partial differential equations on the sphere
• A wavelet Galerkin method for the Stokes equations
• The lifting scheme: A custom-design construction of biorthogonal wavelets
• Wavelet Methods in Computational Fluid Dynamics
• Time-accurate solution of advection-diffusion problems by wavelet-Taylor-Galerkin method
• ON CONVOLUTION FOR WAVELET TRANSFORM
• Decomposition of Hardy Functions into Square Integrable Wavelets of Constant Shape
• Orthonormal bases of compactly supported wavelets
• Ten Lectures on Wavelets
• Biorthogonal bases of compactly supported wavelets
• A Wavelet-Optimized, Very High Order Adaptive Grid and Order Numerical Method
• The Lifting Scheme: A Construction of Second Generation Wavelets
• Symmetric Daubechies' wavelets and numerical solution of NLS equations
• CHARACTERIZATION OF IMAGE SPACE OF A WAVELET TRANSFORM
• APPLICATION OF WAVELET-BASED SINGULARITY DETECTION TECHNIQUE IN AUTOMATIC INSPECTION SYSTEM
• Second-generation wavelet collocation method for the solution of partial differential equations