https://github.com/ivan-pi/pdecheb

Chebyshev Polynomial Software for Elliptic-Parabolic Systems of PDEs
https://github.com/ivan-pi/pdecheb

chebyshev-polynomials elliptic-pde fortran method-of-lines parabolic-pde partial-differential-equations pde-solver spatial-discretization

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Chebyshev Polynomial Software for Elliptic-Parabolic Systems of PDEs

• Host: GitHub
• URL: https://github.com/ivan-pi/pdecheb
• Owner: ivan-pi
• Created: 2023-03-03T14:23:05.000Z (almost 2 years ago)
• Default Branch: main
• Last Pushed: 2024-12-30T20:22:41.000Z (about 1 month ago)
• Last Synced: 2025-01-30T23:11:43.120Z (3 days ago)
• Topics: chebyshev-polynomials, elliptic-pde, fortran, method-of-lines, parabolic-pde, partial-differential-equations, pde-solver, spatial-discretization
• Language: Fortran
• Homepage:
• Size: 178 KB
• Stars: 3
• Watchers: 1
• Forks: 0
• Open Issues: 8
• Metadata Files:
  • Readme: README.md

Awesome Lists containing this project

README

        
```mermaid

---

title: An Overview of using DASSL and PDECHEB

---

flowchart BT

    subgraph L4[User provided PDE/ODE]

        l4_1[UVINIT\nPDE/ODE\nInitial\nconditions]

        l4_2[SPDEFN\nBody of PDE]

        l4_3[SBNDR\nBoundary\nconditions]

        l4_4[SODEFN\nResidual of\ncoupled\nODEs]

    end

    subgraph L3["Software to semidiscretize the PDE/ODE System"]

        l3_1[INICHB\nInitialize workspace\nand the solution vector]

        l3_2[PDECHB\nForm ODE residual]

        l3_3[INTERC\nSpatial\ninterpolation]

    end

    l4_1-->l3_1

    l4_2-->l3_2

    l4_3-->l3_2

    l4_4-->l3_2

    subgraph L2[Time integration]

        l2_1[DASSL\nIntegrate the solution\nfrom TSTART to TOUT]

    end

    l3_2-->l2_1

    L1[User's calling program]

    

    l3_1-->L1

    l3_3-->L1

    l2_1-->L1

```

```mermaid

---

title: PDECHEB Internal Architecture

---

graph BT

    subgraph A[Public interface]

        A2[INICHB]

        A1[PDECHB]

        A3[INTERC]

    end

    B1[CHINTR]-->A1

    B2[CRES and DRES]-->A1

    subgraph U["User-provided routines"]

        U1[SPDEFN]

        U2[SBNDR]

        U3[SODEFN]

        U4[UVINIT]

    end

    U1-->B2

    U2-->B2

    U1-->B1

    U3-->A1

    C1[INTRCH]-->A3

    U4-->C2[CSET]-->A2

```