MS/PhD Thesis Title (Times New Roman 22 Bold)

By

This is my name (17 Regular)

Registration Number (17 Regular)

MS/PhD Thesisin

Electrical Engineering(17 Regular)

Department of Electrical Engineering

HITEC University Taxila.

Pakistan

Month Year (18 Regular)

i

MS/PhD Thesis Title (17 Regular)

A thesis submitted in partial fulfillment of the requirements for the award of Degree of PhD in Program Name. (14 regular)

This is my name (14 regular)

Registration Number (14 regular)

Department of Electrical Engineering

HITEC University Taxila.

Pakistan

Month Year (18 regular)

ii

Certificate of Approval (16 Bold)

This thesis titled (12 regular) MS/PhD Thesis Title (16 Bold)

submitted by (12 regular)

This is my name (14 regular)

Registration Number (14 regular)

in partial fulfilment of the requirements for the degree of (12 regular)

DOCTOR OF PHILOSOPHY IN ELECTRICAL ENGINEERINGhas been approved. (14 bold)

(Below on this page font is Times New Roman 12 regular)

External Examiner __________________________________ Prof. Department ofAffiliation…

Supervisor _____________________________ Prof. Dr. Department of …..

Chairperson ______________________Prof. Dr.Department of …..

iii

Dean Faculty of Sciences _____________________________ Prof. Dr. Dean Faculty of …..

.

iv

Declaration (16 Bold)

I hereby declare that I have produced the work presented in this thesis, during the

scheduled period of study. I also declare that I have not taken any material from any

source except referred to and wherever due the amount of plagiarism is within acceptable

range. If a violation of HEC rules on research has occurred in this thesis, I shall be liable

to punishable action under the plagiarism rules of the HEC. (12 Regular & justified)

(12 Regular) Signature of student:

(12 Regular) This is my name(12 Regular) XX-XX-XX

v

Plagiarism Undertaking (16 bold)

I solemnly declare that research work presented in the “<Thesis Title>” is solely my

research work. The work has not been presented elsewhere for assessment. Where

material has been used from other sources it has been properly referred.

I also acknowledge zero tolerance policy of HEC and HITEC University towards

plagiarism. If I am found guilty of any formal plagiarism the university reserves the right

to cancel my degree. (12 Regular & justified)

Date: ___________________ (12 Regular)

(12 Regular) Signature of student:

(12 Regular) This is my name (12 Regular) XX-XX-XX

vi

Certificate (16 bold)

It is certified that Mr. This is my name, registration number XX-XX-XX has carried out

all the work related to this thesis under my supervision at the Department of

Mathematics, HITEC University Taxila, and the work fulfills the requirement for award

of PhD degree.

(12 Regular & justified)

Date: ____________________

Supervisor:

___________________________ Prof. Dr. xyz

Department of Electrical Engineering

Chairperson:

__________________

Prof. Dr. Hafiz Ashiq Hussain Department of Electrical Engineering

HITEC University, Taxila Cantt.

vii

DEDICATION (16 bold)

Dedicated

To

My

viii

ACKNOWLEDGEMENT (16 bold)

I ………. Use the style paras for this section

ix

Abstract (16 bold)

The style of this section is also paras. Please remembers the list of figures, table of

content and list of tables are automatically generated after the compilation of the thesis

(F9 is the short key to refresh all the fields). (12 Regular & justified)

x

Table of Contents (20 Regular)

Table of Contents ............................................................................................................xList of Figures ..................................................................................................................xiList of Tables ...................................................................................................................xiiList of Abbreviations .....................................................................................................xiiiChapter 1. Use of headings and equation numbering ................................................21.1 A sample section heading (use the style heading 2) ..............................................3

1.2 Another sample section heading..............................................................................3

1.2.1 This is a subsection heading (style heading 3)..............................................3Chapter 2. This is another chapter heading: use the style Heading 1 .......................42.1 Figure Style..............................................................................................................5

2.1.1 Single Figure..................................................................................................52.1.2 Double Figures...............................................................................................52.1.3 Tables.............................................................................................................6

Chapter 3. Lists and bullets...........................................................................................7Chapter 4. Conclusions and Future work.....................................................................9References..........................................................................................................................10

xi

List of Figures (20 Regular)

(All text is in Times New Roman, font size 12 regular)

Figure 2.1: Two-dimensional domain with expanding or contracting porous walls...........5Figure 2.2: Effects of wall deformation rate on axial velocity in case of injection.............5Figure 2.3: Effects of wall deformation rete on axial velocity in case of suction...............5

xii

List of Tables (20 Regular)

(All text is in Times New Roman, font size 12 regular)

Table 2.1: Comparison of numerical and VPM solutions forR=1.5, α=−0.5 , Λ=1.0 and M=0.5 .................................................................................................................................6

xiii

List of Abbreviations (20 Regular)

Notation Meanings

MHD Magneto-hydrodynamic

Des Differential Equations

VPM Variationa of Parameters Method

FEM Finite Element Method

MWR Method of Weighted Residual

LSM Least Square Method

GM Galerkin Method

RKF Runge – Kutta – Fehlberg Method

VIM Variational Iteration Method

RK−4 Runge−Kutta Method of Order 4

xiv

The thesis format is a combination of text formatting, styling and numbering. It includes

active fields to handle certain functions. Please avoid blind copy-pasting. Pay attention to

the style bar at the top in home tab of MS WORD. The references are automatically

handled by a third-party software named Mendeley (or you can use the msword built-in

referencing tool). Citation of the references, figures, tables and chapter/section heads is

also automatic. Don’t not change it to manual numbering or citations. Some sample text,

chapter headings a table and figure for are present in this format for your ease. For the

other, you will have to learn how to use Styles in MS word. Each item has a particular

style and that has to be followed throughout the manuscript. For quarries contact me on

nidojan@gmail.com .

For chapter heading use the style Heading 1

For section and subsection use heading 2 and so on.

Caption should be set in the style Caption1.

Here is a sample reference citation

Ref. [1], Reference [1] or simply [1] (please note that this citation is not just simple text it

is and active field)

The short keys to figure tables and equations can be made by saving them in proper

galleries and then making their customized ribbons.

1

Chapter 1. Use of headings and equation

numbering (20 Bold)

2

(All text is in Times New Roman, font size 12 regular & justified)

Notice a enter above this line. It is used to take us from style firstpara to paras.

1.1 A sample section heading (use the style heading 2) (14 Bold)This is a sample equation. The equation numbering is automatic. You can copy it and

paste it to a new line to get the next numbered equation. The proper way would be to

make a customized ribbon for it.

Lf (ξ )+Nf (ξ )+ Xf (ξ )=g (ξ ) . (1.1)

Here is another equation:

f (ξ)=∑i=0

m−1 A i

i !ξ i−∫

0

ξ

λ (ξ , χ ) ( g ( χ )−Nu ( χ )−Xu ( χ ) ) dχ ,(1.2)

In Eq. (1.2), m symbolizes the order of given differential equation.

1.2 Another sample section headingNow we make a sample subsection heading, to do that type any text in a new line and

apply the style heading 3.

1.2.1 This is a subsection heading (style heading 3)

3

Chapter 2. This is another chapter heading: use

the style Heading 1 (20 Bold)

4

The first para after the chapter heading holds the style first para. It forces the chapter

heading to be on a separate page.

2.1 Figure Style (14 Bold)

2.1.1 Single Figure (13 Bold)The following is a sample figure. It is places centered and the caption bears the style

Caption1. It can be cited as Figure 2.1.

Figure 2.1: Two-dimensional domain with expanding or contracting porous walls

2.1.2 Double FiguresIf you want to place two pictures side by side the following format should be followed

Figure 2.2: Effects of wall deformation rate on axial velocity in case of injection

Figure 2.3: Effects of wall deformation rete on axial velocity in case of suction

Copy paste the table, holding the above figures together, and then right click a picture to

change it. Again, the use of ribbons is recommended rather than simple pasting.

5

2.1.3 TablesThis is a sample table

Table 2.1: Comparison of numerical and VPM solutions forR=1.5, α=−0.5 , Λ=1.0 and M=0.5 .

ξ VPM Numerical Abs Error

0 1.476821155 1.476821161 6.491241988e-009

0.1 1.46327328 1.46327329 9.618287722e-009

0.2 1.422461533 1.42246154 7.298674554e-009

0.3 1.353887817 1.353887824 6.974028022e-009

0.4 1.256742927 1.256742932 5.195425423e-009

0.5 1.129937991 1.129937996 5.220705646e-009

0.6 0.9721486521 0.9721486564 4.274775312e-009

0.7 0.7818721777 0.7818721797 1.961586005e-009

0.8 0.5574980214 0.5574980231 1.669933525e-009

0.9 0.2973926637 0.297392664 2.871453075e-010

1 0 0 0

The line spacing for the table is 1.0. For the other text go for style paras it has proper

formatting including the justification and line spacing.

6

Chapter 3. Lists and bullets

7

In this chapter we present a format for bullet items in the following form:

First point goes here.

Another one goes here.

8

Chapter 4. Conclusions and Future work

9

References (20 Regular)

[1] N. Ahmed, Adnan, U. Khan, and S. T. Mohyud-Din, “Unsteady radiative flow of

chemically reacting fluid over a convectively heated stretchable surface with cross-

diffusion gradients,” International Journal of Thermal Sciences, vol. 121, pp. 182–

191, Nov. 2017.

10