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Table of Contents

Chapter 1: Introduction
1.1 Background of the Study
1.2 Problem Statement
1.3 Research Objectives
1.4 Research Questions
1.5 Significance of the Study
1.6 Limitations of the Study
1.7 Scope of the Study

Chapter 2: Literature Review
2.1 Overview of Integral Equations
2.2 Variational Iteration Method
2.3 Previous Studies on Approximating Integral Equations
2.4 Gaps in the Literature

Chapter 3: Research Methodology
3.1 Research Design
3.2 Data Collection Methods
3.3 Data Analysis Techniques
3.4 Validation of Results

Chapter 4: Discussion of Findings
4.1 Analysis of Results
4.2 Comparison with Existing Methods
4.3 Implications of Findings
4.4 Recommendations for Future Research

Chapter 5: Conclusion and Summary
5.1 Summary of Findings
5.2 Conclusion
5.3 Contributions of the Study
5.4 Suggestions for Further Research

Overview of Thesis: Approximating Integral Equations by Variational Iteration Method

The thesis aims to explore the application of the variational iteration method for approximating integral equations. Integral equations are mathematical equations that involve an unknown function in the integrand. The variational iteration method is a powerful numerical method that can be used to solve a wide range of differential and integral equations.

The brief overview will provide an introduction to the topic, highlighting the significance of the research and the objectives of the study. It will also discuss the limitations and scope of the research, as well as provide a summary of the research methodology. The literature review will delve into previous studies on approximating integral equations and the gaps in the literature that this research aims to address.

In the discussion of findings, the thesis will analyze the results obtained using the variational iteration method and compare them with existing methods. The implications of the findings will be discussed, along with recommendations for future research in this area. Finally, the conclusion and summary will provide a concise summary of the findings, conclusions drawn from the research, and suggestions for further research to advance the field of approximating integral equations using the variational iteration method.

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