Comparing Optimal Homotopy Asymptotic Method and Adomian Decomposition Method for the Solution of Integro-Differential Equations

Abstract

In this work, the author compares optimal homotopy asymptotic method with Adomian decomposition method for the solution of integro-differential equations. These methods are applied to first, second and third order problems. Both of these methods develop series solutions to a wide variety of functional equations. Optimal homotopy asymptotic method traces the solution very rapidly as it uses a homotopy and control the convergence by the virtue of auxiliary function. Numerical results are compared with the exact solution.

Authors and Affiliations

Javed Ali

Keywords

Related Articles

Integrating Weka Into Web Application: Predicting Student’s Performance

In today‟s world, there are many stand alone data mining tools that can be used by the academicians to carry out data mining tasks. Any Educational Institute can show the curiosity to know the future performance of recen...

Discrete Extended Kalman Filter Based Ultrasonic Time-OfFlight Estimation

In mobile robotics applications, the existence of noise measurement may impact on the performance degradation. The noise measurement of the sensor is produced due to several reasons, such as low specification, external s...

Reduction and Management of Waste in Hotel Industries

The present review article is trying to compile the available information from literature on reduction and management of waste in the hotel industries. As per the available literature, 5 Rs Transition Strategy is good fo...

Topic Trees And Chatbot Conversational Context

This article discusses the relation between topic-specific word trees (“ontologies”) and the retrieval of information from a chatbot‟s recent conversation – the conversational context. I assume the conversational context...

Hybrid T-I-D and Fuzzy Logic Based SVC Controller for Transient Stability Enhancement

This paper presents a new approach to solve the transient stability problem. The conventional PI based SVC controller has simple functioning and is economical in operation but has sluggish performance with non-linear cha...

Download PDF file
  • EP ID EP394272
  • DOI 10.9790/9622-0805051519.
  • Views 106
  • Downloads 0

How To Cite

Javed Ali (2018). Comparing Optimal Homotopy Asymptotic Method and Adomian Decomposition Method for the Solution of Integro-Differential Equations. International Journal of engineering Research and Applications, 8(5), 15-19. https://europub.co.uk/articles/-A-394272