Numerical Methods & Analysis

Engineering Wale Baba

Iqukethe izikhangiso

Mayelana nalolu hlelo lokusebenza

Izindlela Zezinombolo:

Uhlelo lokusebenza liyincwadi ephelele yamahhala Yezindlela Nokuhlaziywa Kwezinombolo ezihlanganisa izihloko ezibalulekile, amanothi, izinto zokufunda.

Lolu hlelo lokusebenza lubala izihloko ezingama-77 ezinamanothi anemininingwane, imidwebo, izibalo, amafomula nezinto zezifundo, izihloko zibhalwe ezahlukweni ezi-5. Uhlelo lokusebenza kumele lube nalo kubo bonke abafundi besayensi yobunjiniyela nochwepheshe.

Landa uhlelo lokusebenza njengereferensi kanye nencwadi yedijithali yeMathematika nezinhlelo zobunjiniyela bemishini nezifundo zeziqu. Ucwaningo luphinde lusetshenziswe kakhulu ku-Artificial intelligence, ama-algorithms, amasistimu esikhathi sangempela kanye nokufunda komshini.

Uhlelo Lokusebenza luklanyelwe ukufunda okusheshayo, ukubuyekezwa, izinkomba ngesikhathi sokuhlolwa kanye nezingxoxo.

Lolu hlelo lokusebenza luhlanganisa izihloko eziningi ezihlobene kanye nencazelo enemininingwane nazo zonke izihloko eziyisisekelo.

Ezinye zezihloko ezivezwe kulolu hlelo lokusebenza yilezi:

1. Isixazululo sezibalo ze-algebraic kanye ne-transcendental
2. Izindlela zokuxazulula izimpande zezibalo ze-polynomial
3. Ukulinganisa Kwasekuqaleni Kwenqubo Ephindaphindwayo
4. Indlela Yesikhundla Samanga
5. Indlela yeNewton-Raphson
6. Indlela Yokuphindaphinda Okujwayelekile
7. Ukuhlangana Kwezindlela Zokuphindaphinda
8. Isistimu yomugqa wezibalo ze-algebra
9. Indlela eqondile yokuxazulula isistimu yomugqa
10. Indlela yokuqeda i-guass
11. Indlela ye-Guass jordan
12. Izindlela zokuphindaphinda
13. Indlela ye-Gauss-Jacobi yokuphindaphinda
14. Indlela ye-Gauss-Seidel Iteration
15. Izinkinga zenani le-Eigen
16. Indlela yamandla
17. Ukuhunyushwa
18. I-Lagrange Interpolation
19. I-Linear Interpolation
20. I-quadratic interpolation
21. Iphutha lokuhumusha
22. Ukuhlukana okuhlukene
23. I-Newton's Divided Difference Interpolation
24. Ukuhunyushwa Ngamaphuzu Ahlukaniswe Ngokulinganayo
25. Ubudlelwano phakathi komehluko kanye nokuphuma kokunye
26. Ifomula yomehluko oya phambili kaNewton
27. I-Newton's Backward Difference Interpolation Formula
28. Umsebenzi we-spline
29. I-Cubic Interpolation
30. Umehluko Wezinombolo
31. Okususelwe Esebenzisa Ifomula Ye-Newton's Forward Difference
32. Okuphumayo Kusebenzisa Ifomula Yomehluko Ka-Newton Obuyela Emuva
33. Okuphuma kokunye kusetshenziswa I-Divided Difference Formula
34. Imithetho Yokudidiyelwa Kwezinombolo Nokudidiyela Esekelwe Esikhaleni Se-Mesh Esifanayo
35. Umthetho weTrapezium
36. Iphutha ku-Trapezium Rule
37. Umthetho we-trapezium oyinhlanganisela
38. Umthetho kaSimpson 1/3
39. Iphutha kumthetho we-1/3 kaSimpson
40. I-Composite Simpson's 1/3 Rule
41. Umthetho ka-Simpsom 3/8
42. Indlela yaseRomberg
43. Indlela ye-Romberg yomthetho we-trapezium
44. Indlela ye-Romberg yoMthetho we-Simpson's 1/3
45. Imithetho Yokuhlanganisa I-Gauss-Legendre
46. ​​Umthetho we-Gauss onephuzu (umthetho we-Gauss-Legendre iphuzu elilodwa)
47. Umthetho wamaphuzu amabili we-Gauss (umthetho wamaphuzu amabili we-Gauss-Legendre)
48. Umthetho wamaphuzu amathathu we-Gauss (Gauss-Legendre Umthetho wamaphuzu amathathu)
49. Ukuhlolwa kwe-Double Intergral Ukusebenzisa I-Trapezium Rule
50. Ukuhlolwa kwe-Double Intergral Ukusebenzisa umthetho kaSimpson
51. Isingeniso Senkinga Yevelu Yokuqala Yezibalo Ezijwayelekile Zomehluko
52. Ukwehliswa kwe-equation ye-second order ibe uhlelo lwe-oda lokuqala
53. Indlela Yesinyathelo Esiyodwa
54. Izindlela zezinyathelo eziningi
55. Taylor series Method
56. Ukuguqulwa kwe-Euler noma Izindlela zikaHeun
57. Izindlela ze-Runge Kutta

Isihloko ngasinye siphelele ngemidwebo, izibalo nezinye izinhlobo zokuboniswa kwezithombe ukuze kufundwe kangcono nokuqonda okusheshayo.

Zonke izihloko azikho ohlwini ngenxa yokulinganiselwa kwabalingiswa.

Izici :
* Izihloko ezihlakaniphile zeSahluko eziphelele
* I-Rich UI Isakhiwo
* Imodi yokufunda enethezekile
* Izihloko Ezibalulekile Zokuhlolwa
* I-interface yomsebenzisi elula kakhulu
* Mboza Iningi Lezihloko
* Ukuchofoza okukodwa thola okuhlobene Yonke Incwadi
* Okuqukethwe Kweselula Okulungiselelwe
* Izithombe Ezilungiselelwe Ngeselula

Lolu hlelo lokusebenza luzosiza ekubhekiseni ngokushesha. Ukubuyekezwa kwayo yonke imiqondo kungaqedwa phakathi namahora amaningana kusetshenziswa lolu hlelo lokusebenza.

Izindlela Nokuhlaziywa Kwezinombolo kuyingxenye yezifundo zeMathematics & mechanical engineering kanye nezinhlelo zeziqu zezobuchwepheshe zamanyuvesi ahlukahlukene.

Esikhundleni sokusinika isilinganiso esiphansi, sicela usithumelele imibuzo yakho, izinkinga futhi usinikeze Izilinganiso Neziphakamiso ezibalulekile Ukuze sikucabangele Ukuze uthole Izibuyekezo Ezizayo. Sizokujabulela ukukuxazululela zona.