A Simple Introduction to the Method of Lines

Sadiku, Matthew N. O.; Obiozor, C.N.

doi:10.7227/ijeee.37.3.8

Cited by 50 publications

(27 citation statements)

References 11 publications

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“…There are several references in the literature that introduce the method of lines and dig deeper into the subject (Cutlip & Shacham, 1999;Sadiku & Obiozor, 2000;Schiesser & Silebi, 2009;Wouwer, Saucez, & Vilas, 2014).…”

Section: ( )mentioning

confidence: 99%

Having Fun in the Heat Transfer Classroom

Ferreira¹,

Rojas²

2017

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In this article, we discuss the possibility of starting heat transfer coursework with transient problems. We begin with the analysis of a microscopic transient problem, from when the process begins until it reaches a steady state. In addition, we propose that the students perform four or five activities per month in the classroom, in pairs, instead of requiring traditional exams. We developed a questionnaire to check the level of student satisfaction with the methodology used. Of the students, 59% had little difficulty understanding the theory, 59% did not have difficulty calculating microscopic transient balances, and 46% had no difficulty with steady-state calculations. A total of 59% preferred that all the evaluations were conducted as activities in the classroom, and 41% and 51% preferred that the course began with transient and steady-state problems, respectively.

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Section: ( )mentioning

confidence: 99%

Having Fun in the Heat Transfer Classroom

Ferreira¹,

Rojas²

2017

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“…Beberapa penelitian terdahulu yang membahas metode garis antara lain yaitu membahas solusi numerik persamaan Kortewegde Vries dengan metode garis (Ozdes & Aksan, 2006). Penelitian lain membahas penerapan metode garis pada persamaan Laplace (Sadiku & Obiozor, 1997).…”

Section: Pendahuluanunclassified

“…Metode garis memiliki beberapa keunggulan antara lain metode ini sangat efisien dalam perhitungan karena menghasilkan solusi yang akurat dengan sedikit waktu yang ditempuh. Selain itu metode ini juga mudah dalam menentukan kestabilannya dengan memisahkan antara variabel ruang dan waktu (Sadiku & Obiozor, 1997).…”

Section: Pendahuluanunclassified

“…Kemudian menyelesaikan sistem persamaan diferensial biasa yang sudah diperoleh dengan menggunakan metode penyelesaian pada persamaan diferensial biasa, seperti metode Euler, metode Runga-Kutta dan lain-lain. Metode ini dinamakan metode garis karena solusi ditentukan pada setiap garis = dimana daerah solusi dibagi menjadi beberapa garis lurus yang sejajar dengan sumbu-pada batas tertentu (Sadiku & Obiozor, 1997).…”

Section: Penerapan Metode Garis Pada Penyelesaian Persamaan Fokker-plunclassified

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Penyelesaian Persamaan Diferensial Parsial Fokker-Planck Dengan Metode Garis

Muyassaroh

2014

CAUCHY

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Persamaan Fokker-Planck merupakan persamaan diferensial parsial yang menggambarkan fungsi distribusi partikel dalam suatu sistem yang berisi banyak partikel yang saling bertumbukan. Digunakan metode garis untuk menyelesaikan solusi numerik pada persamaan Fokker-Planck. Metode ini merepresentasikan bentuk persamaan diferensial parsial ke dalam bentuk sistem persamaan diferensial biasa yang ekuivalen pada bentuk persamaan diferensial parsialnya. langkah pertama yang dilakukan untuk menyelesaikan persamaan Fokker-Planck dengan metode garis yaitu mengganti turunan ruang dengan metode beda hingga pusat, sehingga diperoleh bentuk sistem persamaan diferensial biasa. Langkah kedua yaitu menyelesaikan sistem persamaan diferensial biasa yang telah diperoleh pada langkah pertama dengan metode penyelesaian yang berlaku pada persamaan diferensial biasa yaitu metode Runga-Kutta. Hasil solusi numerik dengan metode garis kemudian dibandingkan dengan solusi eksak menghasilkan galat yang sangat kecil atau mendekati nol. Sehingga dapat disimpulkan bahwa metode garis merupakan metode yang baik untuk menyelesaikan persamaan Fokker-Planck.

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“…technique that has widely been used to solve the governing partial differential equations of physical boundary value problems [128]. The method has been employed directly to solve a wide variety of hyperbolic, parabolic, or elliptic PDEs [129][130][131][132][133][134].…”

Section: Methods Of Linesmentioning

confidence: 99%

Dynamic interactions of electromagnetic and mechanical fields in electrically conductive anisotropic composites

Barakati¹

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Recent advances in manufacturing of multifunctional materials have provided opportunities to develop structures that possess superior mechanical properties with other concurrent capabilities such as sensing, self-healing, electromagnetic and heat functionality. The idea is to fabricate components that can integrate multiple capabilities in order to develop lighter and more efficient structures. In this regard, due to their combined structural and electrical functionalities, electrically conductive carbon fiber reinforced polymer (CFRP) matrix composites have been used in a wide variety of applications in most of which they are exposed to unwanted impact-like mechanical loads. Experimental data have suggested that the application of an electromagnetic field ABSTRACT Recent advances in manufacturing of multifunctional materials have provided opportunities to develop structures that possess superior mechanical properties with other concurrent capabilities such as sensing, self-healing, electromagnetic and heat functionality. The idea is to fabricate components that can integrate multiple capabilities in order to develop lighter and more efficient structures. In this regard, due to their combined structural and electrical functionalities, electrically conductive carbon fiber reinforced polymer (CFRP) matrix composites have been used in a wide variety of applications in most of which they are exposed to unwanted impact-like mechanical loads. Experimental data have suggested that the application of an electromagnetic field

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A Simple Introduction to the Method of Lines

Cited by 50 publications

References 11 publications

Having Fun in the Heat Transfer Classroom

Having Fun in the Heat Transfer Classroom

Penyelesaian Persamaan Diferensial Parsial Fokker-Planck Dengan Metode Garis

Dynamic interactions of electromagnetic and mechanical fields in electrically conductive anisotropic composites

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