Fourth-order convergence of a compact scheme for the one-dimensional biharmonic equation

Keyphrases

• Eigenfunctions 100%
• Eigenvalues 100%
• Compact Scheme 100%
• Biharmonic Equation 100%
• Fourth Order 100%
• Eigenvalue Problem 100%
• Truncation Error 100%
• First Order Derivative 100%
• Padé Approximation 100%
• Fourth-order Convergence 100%
• Eigenvector 50%
• Unknown Function 50%
• Order Optimal 50%
• Numerical Examples 50%
• Matrix Elements 50%
• Linear Time 50%
• First-order 50%
• Function Approximation 50%
• Dirichlet Boundary Condition 50%
• Time-dependent Problems 50%
• Interior Point 50%
• Discrete Problem 50%
• Biharmonic 50%
• Fourth-order Accuracy 50%
• Biharmonic Operator 50%
• Biharmonic Problem 50%
• Fourth-order Compact Scheme 50%
• Discrete Eigenvalues 50%
• Near Boundary 50%
• Optimal Accuracy 50%
• Continuous Eigenvalues 50%

Mathematics

• Fourth-Order 100%
• Eigenvalue 60%
• Eigenvalue Problem 40%
• Truncation Error 40%
• Eigenvector 40%
• Pade Approximation 40%
• Approximates 20%
• Unknown Function 20%
• Linear Time 20%
• Numerical Example 20%
• Time Dependent Equation 20%
• Dirichlet Boundary Condition 20%
• Dependent Problem 20%
• Interior Point 20%
• Elements of Matrix 20%
• Boundary Point 20%
• Eigenfunction 20%

Engineering

• One Dimensional 100%
• Fourth Order 100%
• Eigenvalue 80%
• Eigenvector 40%
• Truncation Error 40%
• Matrix Element 20%
• Numerical Example 20%
• Linear Time 20%
• Dirichlet Boundary Condition 20%
• Positivity 20%
• Interior Point 20%
• Boundary Point 20%
• Eigenvalues and eigenfunctions 20%