| 
							
							 | 
							
							 
							   | 
							
                            
							
                            
							
								
									
									
										
                                        
											
											
												
													|   | 
													
													 | 
													  | 
												 
												
													| 
													 
													Solution of Generalized Abel’s Integral Equations by Homotopy Perturbation Method with Adaptation in Laplace Transformation  | 
												 
												
													| 
													 | 
												 
												
													| 
													
                                                                                                         
													PP: 29-35 | 
                                                    
												 
												
													| 
													 | 
												 
                                                
												
													
														
														doi:10.18576/sjm/090202
														       
														
															 
														
                                                     | 
												 
												
												
													| 
													 | 
												 
                                                
												
													| 
													Author(s) | 
												 
												
													| 
													 | 
												 
												
                                                
													| 
													
                                                    
													Srinivasarao Thota,
                                                    
                                                     | 
												 
												
													| 
													 | 
												 
												
													| 
													Abstract | 
												 
												
													| 
													 | 
												 
												
													| In this paper we present a new and simple algorithm to solve the Abel’s second kind integral equation using the concept of homotopy perturbation method with a modern adaptation in Laplace transformation. By this method, analytical solution and good approximate solutions can be obtained with only a few iterations. Several numerical examples are presented to illustrate the method, and the results show the proposed method is very effective. | 
												 
												
												
													| 
													 | 
												 
												
											 
											 | 
										 
										
											| 
											 
											   | 
										 
                                        
									 
									 | 
								 
							 
                            
                             |